I am sorry for your health issues. I'd focus on your health and job search.

It doesn't sound like it's a relationship from What you described and I wouldn't particularly call him or her "partner". I am not sure why you are saying that they are "with you", it doesn't sound like that's the case. I certainly wouldn't feel guilty. They live their own life and so should you.

I recommend taking care of your own life and health and try to look for friends in your area. Are you seeing a therapist? Hang in there