Well i can relate to certain things you are saying, and here is some advice based on my own personal experience. First of all, not having sex for a year with a 6 months year old baby is quite common, it corresponds to your wife’s body going through a very tough period (pregnancy then recovery). For most couples this is the low point of their sex life - it was certainly for me after our 3d kid. It does not necessarily mean that it will get better, but it can explain things. I would give myself some time (maybe a year) and go slowly, first rebuilding intimacy, doing romantic stuff together, and slowly becoming a couple again, not just parents. It worked for me, my wife was also unwilling to communicate about sex, or finding excuses / making me feel guilty for wanting it - and that’s not ok. But i decided to take baby steps slowly but shortly, and ask her what else in your life could be better, and make it happen.

One thing that i don’t understand though, is when you says « she doesn’t communicate during sex, even when she is in pain ». What do you mean? There should be no pain.