<human>: Can you succinctly summarize the text in 1-3 sentences?

I've been living with this girl for almost a year and developed feelings for her. After 8 months I finally decided to ask her out and we dated for a week. We decided to start slow, but had a really great date where we kissed/held hands. A couple days later she basically told me, "I'm not saying no to this relationship, but I need to back off of things for now. I don't want to string you along, so I will keep you in the loop on my feelings."

It is now a couple months later and we continue to do couples things and have a lot of fun (e.g. go to the opera/movies/dinner/talk for hours/etc.), but we are not in a relationship. I've made it clear that I still like her, but she says she is not in an emotional state to be dating anyone.

The issue is, I just overheard she is meeting some guy from a dating site. Now I'm hurt and a bit frustrated that she seems to be moving on without telling me.

The other thing is that our lease is up and we have been looking for a new place to live. But I don't know if I can handle seeing her with another guy. She really wants to continue living with me, but I don't know if it's a smart move. Even though she said she didn't want to string me along, I feel like that's exactly what's happening. I feel like I am her backup plan or something because she doesn't want to tell me no, but she also seems to want to date other people.

I don't know if I should even try talking to her about a relationship again. I'm also not sure if I should be signing a new lease with her. Any advice is appreciated.
<bot>: Roommate put our relationship on hold, but is dating other people without telling me, and also wants to sign a new lease with me. Should I ask her where we stand? Should I continue living with her?