If no sex is a deal breaker for you and you see no progress, I have no problem with you lovingly communicate to her that this is not working for you. However, if she says she doesn't want have have sex with you, you have to walk and never look back.
My guess since you are on this board that you are not willing to do that just yet.
Also, if she's not doing the HW assigned I would consider canceling the sessions. MC is for two people committed.
