Gracefully. You can’t make everyone like you, and sometimes it’s not meant to work out. It will probably be painful, and for me I used to take it pretty personally for a few days. But I’d give myself time to cool off, mull it over, and understand it wasn’t meant to be. I can’t change other people, I can only change my expectations.
Just carry on, don’t push the issue, and let it lie. Someone else will be out there for you