I can kind of relate, I’m almost always the one to start conversations with my friends but that’s because we’re busy and don’t have much to talk about.

Regarding your friend, it could just be her, she could simply be a private person, but I would talk to her about it and if she still seems to shrug and go “stuff happens” then I would reflect and ask yourself honestly if the relationship is worth it. If it feels one sided and each conversation leaves you drained emotionally you might be better off making new friends.