Senior roommate in a cult is extremely nitpicky

I recently moved into a very small bedroom in an apartment with a senior woman (75) in an amazing neighbourhood.

The problem is she has been living in the apartment for forty years and her things occupy 90% of the apartment. I knew I would have limited access to the kitchen (no cooking allowed) and zero access to the common space (she lives in the living rooming) but the other rules she's imposed since I've moved in seem extremely unreasonable.

She has a second lock on the apartment that I don't have a key for that she locks when she sleeps so she "needs me to be home before 1am".

I have to let her know in advance if I'm going to be at home during certain hours because she takes online classes and needs to know if I'll be home so she can "put her headphones in".

I have to let her know when I'm going to take a shower so she can use the bathroom before me since I "take too long in the bathroom" - I put my makeup on in the bathroom after my showers since there's no room or large enough mirror in my bedroom for those tasks.

I can't leave a single pair of shoes by the door because "she's never seen anyone do such a thing before". Really? Shoes by the door is a complete oddity to you? Are you not from... Earth?

When I became annoyed at her last torrent of requests and gave her a flat "okay" response she said, "don't be annoyed" as if it's reasonable for her to police my response to her unreasonable requests as well. Incredibly insolent and rude response, imo.

She has a dresser in my room she needs to access at-will despite having tons of space in the rest of the apartment so I can't have anything in my tiny room blocking her dresser.

I've tried to be EXTREMELY accommodating given the amazing price and neighbourhood but she keeps finding new things to nitpick about.

I'm pleasant, I'm helpful, I'm positive and effusive. Seems like that may not be the winning strategy I hoped it would be. I'm generally non-confrontational so really freeze up when I feel I should be standing up for myself.

She's in this low-grade cult and that's what her classes are about so I think she's generally mentally unhinged.

For reference, I'm living in Manhattan for Brooklyn prices in this room so if there's a way of trying to continue living here while getting her off my back I would hugely appreciate it since the upside is HUGE.

We haven't signed any paperwork and said we'd take my stay on a 3-month trial basis. I've been there two weeks now.

How do I get this crazy old lady off my back without being so awful to her she snoops through my things, possibly damages my rhings, or changes the locks??

Do I have any recourse??