Hilda came into Asgard as a girl that knew her role in the world, and yet was very unsure of it all. In her near past, she had just been realized as the reincarnated Hero of Truth - a title that carried great responsibility and history. Although she had an entire year and a half to travel and mature to fit this role, at it's core she was a sixteen year-old girl with the fate of the world put on her shoulders. She was able to come out successful, but the event definitely did impact her. As a Hero of Unovan legend, she had to have full faith in her beliefs to restore peace -- something that she was nowhere near setting in stone at the start of her journey.  Despite all of her changes, she was still the fun-loving trainer that she always was at heart. 

Upon coming to Asgard, she was ready to take on the challenge of "restoring colour" head on. However, the first and probably one of the most important things that restricted her full potential was the loss of most of her Pokemon. In the Pokemon World, humans and Pokemon work together to give to each other what they can not do on their own. It's a relationship that every person is capable of having, and most people do use it to their advantages and gains as a partnership. If you leave your city without a Pokemon (which is ALWAYS highly discouraged), there's a very good chance that you will get hurt. The world outside of your hometown is dangerous, and without a Pokemon that can battle, you're pretty much defenseless against anything in the wild that can and will attack you. While Hilda came to the city with the legendary Reshiram, it was rendered powerless -- and by extension, so was she. 

The fact that she was basically without some of her best friends and travelling partners was definitely a hindrance on her emotionally. A Pokemon trainer relies on the Pokemon that they raise, for both companionship and protection. The God-given power of healing she received was helpful, but in the long run it could not protect her when the going got tough. This was tested and demonstrated when she and Touya were sent out out into the woods on Baldr's wishes. Here, not only her, but the boy that she had romantic feelings for were put to the ultimate test -- survival without the help of any Pokemon whatsoever. As trainers, being without their companions was a strange and slightly frightening experience, and for good reason. As both of their powers were still quite weak, neither of them had any ways of defending themselves against the enemy... and when you're fighting in a war, that's not very good. This had never really dawned on her as she was always under the protection of a loyal Pokemon until this moment.

This terrible disadvantage is what left both Pokemon trainers (unaware that they would eventually be resurrected) to their deaths. Although there was a confession of love between her and Touya to avoid any regrets, it would be a terrible lie to say that she had died without any. She was by no means ready to die -- there were too many people and Pokemon she hadn't had the chance to say goodbye to.
Death in itself was a concept that she had never even considered back home. Her Pokemon were always a reliable safety net should she ever get into a troubling situation, so there was no reason to worry about a fate so dire. Her first Asgardian death is what gave her a reality check and a lesson about morality; this wasn't her "Rated E for Everyone" world anymore. Her decisions and actions could now very well be the decision factor between life or death of the people she cared for... and for a girl that usually acts on impulse, this was something very new to consider. 

Upon her return from death, the first thing that she did was tell those closest to her how much they meant to her. At that moment in her mind, there was not a minute to waste. Life suddenly seemed a million times shorter, and she had to say what she needed while she still had the chance. The looming truth that she needed a way to defend herself without Pokemon was also prominent now, and she needed to take initiative before anything else happened. This lead to both her and Touya learning self-defense in both physical moves and weaponry. 

In addition to her sudden loss of her Pokemon, her relationships have also been put to the test in the forms of both Touya and N Harmonia. In the case of the former, she had to come to terms with the fact that she had a copy in the form of the mysterious boy she knew from the Battle Subway. He shared her mother, her experiences, and even the majority of her memories -- something like this would be very jarring to most people, and while both trainers took it pretty well, it definitely was to Hilda. 
In the case of N, the story gets just a little sad. The very man that she had defeated in her home world was one that she cared about more than anyone, whether she realized it or not. Unfortunately, she was not the Hero that he recognized -- Touya was. And while he was poilite about getting to know her and also "accepting" her as a Hero, she did (and still to this day) feels as if perhaps she isn't a true hero. As far as she knows she is the only one from her plane of existence, and it makes her feel quite insecure about if her story is as valid as Touya's is.

In conclusion, the relationships that Hilda has made and the experiences she has gone through in Asgard have definitely begun to mold her into more of a stable person. While she is still the semi-loose canon, easily excited and friendly girl she came into the city as, the values of looking before you leap and taking true responsibility for her own well-being and the well-being of others are looming over her head and helping her mature.