Growing distant from a friend I’m attached to

I (21M) am close friends with someone who I’ve known for 2 years (20F). We met during my sophomore year of college. This was before I found out I was aroace (aromantic and asexual). I approached her because I found her to be physically attractive. I started hanging out with her and eventually I asked her out. She said no because she’s aroace, but I was fine with just being friends. Funny enough, she helped me discover I was aroace after a heartbreak I went through.

During my junior year we got a lot closer. I would get dinner with her a lot more. I would invite her over to my dorm and we would cuddle for a little bit.

This year I feel very touch starved and she was the only person I relied on for physical touch. She’s very busy and I only see her at dining halls. I don’t think I can be friends with her at all because every time I see her, all I can think about is cuddling with her and it’s really frustrating. I feel very lonely. Most women get the wrong idea when I say I want a cuddle buddy so I’m afraid to approach them. I have no idea what to do.

TL;DR: a close friend of mine is too busy to cuddle and I’m thinking about our friendship.

Edit: I’m also thinking of going a month without speaking to her to see if she bothers to reach out to me.