Feels like the name of someone who'd be nosy or a bit of a micromanager. For some reason I feel like it'd work well as the name of a knight or paladin type character though, especially one who's trying to keep the rest of her adventuring party on the path she personally feels is "moral", whether they agree with her or not.
I'm sorry but I absolutely hate this. Gertrude and Gertie don't really bother me, but "Trudie" sounds harsh and brass, plus I associate it with the words "rude" and "lewd". I think this is my least favorite name in the universe.