Why do I feel some kind of love for a person who betrayed me I feel like let that person go?

Sounds like a tinge of attachment issues are at hand. Love is a powerful thing that can take you by the legs and swing you in every direction you'd never believe was possible. Sometimes it's hard to lose feelings for someone you've had a deep connection with. Eventually, you'll come to the resolution that you're either better off without them, or you'll make every attempt to try (but fail) to get them back.

think about why/how they betrayed you. is this person someone you really want to spend the rest of your life with?