Am I getting too overly attached to cats?

Not sure if this is the right sub to post this but growing up I've always loved cats but recently I feel like I'm getting too overly attached to them.

Firstly I'd like you all to know that I can't have a cat of my own atm, I'll be leaving for college in a year or so and my mom isn't really willing to take care of a cat without my involvement. She's not the biggest fan of cats, hence I didn't have a cat growing up either.

For the past few months I've been going for chemistry tuitions and my teacher owns a cat. The cat warmed up to me very quickly, she lets me pick her up and always comes up to me, eager for pets. I've fallen in love with this cat real bad. I've never really liked chemistry but I always looked forward to her classes because of her cat. Unfortunately I had to leave the tutor and today was my last class with her (and her cat). After class I immediately burst into tears and cried non stop for so long. I feel so empty and sad knowing I won't be seeing her cat anymore. It feels like letting go of a child (even though the cat wasn't mine). This makes me think that perhaps am getting wayy too attached to cats? Esp one that isn't even mine and one that I've only known for a few months. Is this quite concerning? Do you all have any advice on how this can be stopped?

Also incase any of you suggest volunteering at local shelters, well we don't really have them in my place. There are stray cats that sometimes roam about here and there but most of them are afraid of humans and run away when you try to approach them