How can I fix my relationship

I recently found out my partner had been sneaking out of the house while I was at work and spending all of her time in a neighbors house. I jumped to the conclusion she was having an affair. After asking her she denied it but it took me a few days to come around and now she's not sure how to forgive that I didn't trust her. I've apologized and told her I would do anything to reconcile but I'm worried I've ruined the relationship. What else can I do to try and save our relationship