Maybe she means if he loves you, then he will be interested in the two of you working together for maximum happiness, so he will be motivated to work on meeting you at least halfway.

The implication being that if he didn't love you, he wouldn't care a bit if you were unhappy.

Of course that kind of reasoning doesn't necessarily hold. Some on here are married to spouses who aren't interested in sex and aren't interested in doing anything about it, but each one still loves the other.

Love is NOT enough... especially love that is ONLY expressed verbally and not acted upon. Talk is cheap.