Does my puppy hate me?

I've had my girl for about three weeks at this point, she's probably around 11-12 weeks, she's a Havanese and toy poodle mix.

I have her on a pretty strict nap schedule? 1 1/2 hr awake and 2 asleep.

Within that hour an a half she usually eats, we sit with each other for ten minutes until she gets roudy -go outside play, “train”, (literally just learning her name and coming when called bc she's so tiny baby Hehe) and for about the last thirty minutes I will sit on my bed and leave her on her space on the floor to wind down and separate us from eachother and the rest of the loud house before she sleeps because I read that it makes naptime a little less stressful if we aren't cuddling and playing right before I leave her for two hours.

She's crate trained, she's so excited to go in during naps so it stays open 24/7 but she won't go in outside of scheduled time, I have a carpet and blanket over my floor scattered with her stuffies and a few good chewing toys and long lasting bones and an entire other dog bed way too big for her… but that's where my issue is.

During the last thirty minutes after we’ve gone inside to wind down she completely ignores all of that and sits and barks at the gate I have as if she wants to go back outside; but once outside she wants to go back in.

I am an overachieving worry-wart and I am so scared to make her hate me/or if she already does and just wants to get away from me. I just wanna know if there's anything I can do because Im not sure how to fix boredom other than her toys, she has water and a grass pad in my room to go potty.

Is she just being a puppy? If so I can totally wait out this phase, I just wanna be her perfect papa.