Erasmus Italian Student looking for a room during WiSe 2022/2023

I'm looking for a room in a shared apartment and I would like to be with women.
I'm 20, I study linguistic mediation but I was assigned to the German Philology department in Innsbruck. I'm looking for flatmates willing to have a new friend and spend some time together but I am also a really quiet person, so noise won't be a problem.
I really like playing board games and watching movies with my friends, but I'm also looking forward to try new things such as winter sports; I live in a really hot part of Italy so I've never tried those kind of sports.
I am planning to be in Innsbruck at the end of September, but I am totally fine with paying the whole month even though I won't be there during all of it.
I would like the room to be not so far from my university and also to be able to have a chat with the people who live there/own the apartment in order to be sure I can trust them.