He would give up if he really loved her. She's found a man who she likes better it's that simple.
Her new man can kiss her goodnight and even buy her things she wants. Not to mention sex. He can't even kiss her good-night or afford to buy her things. Let alone good sex.
So why should he force her to wait a few months for sex or even his own touch when she can have it now with a person she is happy with. The only thing he is going to do if he clings onto her is cause her problems.
That's why if he really loves her he will let her go.