Don't want sex from husband

I'm coming up with any excuse to not have sex with my husband. I had our baby 2 months ago and I still don't feel ready to have sex again yet. My c-section recovery was rough. I had pretty bad post partum depression and I was fighting an infection I developed post surgery. My body went through a lot in such a short span. Sex is the LAST thing on my mind. I'm exhausted. I don't sleep because baby is up all night. I work a full time job. I have two other children to parent on top of a newborn. Plus housework and cooking. By the time night rolls around all I want to do is be left alone and not bothered. I don't feel guilty about it either because I'm putting me and my body and my mental health first. My husband has no choice but to understand I need time.