I confessed that I cheated on my husband 3 times not sexually and we are trying to work things through. What does it mean when he doesn't kiss me but will have sex with me?

Hello and welcome to EmpowHer,
I think you will get a different opinion depending on who you ask. So, I can only share my own opinion.
I imagine that your husband finds it easy to satisfy his own physical needs by having sex with you. But he no longer feels affectionate towards you. Kissing, hugging, cuddling, even a peck on the cheek shows affection and even love. If your all physical relationship with him is only sex, then it seems the sex is for his own needs. It is not to show love or affection for you.
I commend you for being honest with your husband and your willingness to work it out. However, you cannot expect him to bounce back and feel the same for you as he did before you cheated on him. It will take time.
Faith