hang in there
I hope you feel better soon. I agree with Sparkle who said that giving them space is the right thing to do. Even the offer of it, if they turn you down lets them know you care enough to put them first and not yourself which can go a long way.
If you are lonely maybe you can start work on your relationship with your spouse to make that relationship more enjoyable in the meantime. Then if Rose comes back and wants to continue you relationship everything will be that much better.