Men are the gate-keepers of commitment/LTRs. All women want commitment (until they get it, then they go looking for another guy that she "wants commitment" from). The key to a woman's heart is getting her wanting you to commit to her, you not giving it to her, and getting her to anxiously give you pu$$y in the hopes that you'll commit.
A woman "wanting a relationship" means nothing on it's own. All women want this, in an abstract way. In OP's case, she's just using the "I want commitment, so you must wait for sex" ruse as a way to turn OP into dancing monkey that doesn't get laid.