Jesus Christ - what in the OP is: "an act or a pattern of acts of assault, threats, humiliation and intimidation or other abuse that is used to harm, punish, or frighten their victim."
He has said a couple of times that he can see why men have affairs, which is not a particularly appropriate thing to say - he says he was joking. What he was probably trying to do was get across to the OP how rejected he is feeling.
Some of you need to get a grip and find an appropriate thread to sort out your issues on.
This is not sexual abuse. He did not try to have sex with her when she was asleep, he was trying to instigate intimacy when they were on the sofa together in the evening. Yes, she got annoyed because she was tired, but he wasn't doing anything wrong. He didn't push the issue when she said no again, he just felt very rejected - again. She didn't even say to him that she felt tired and it wasn't the right time, she basically just ignored him, which I'm not surprised he found hurtful.
Must he never try to instigate intimacy with his wife!?! Don't be so silly. Sex may not be a need like eating or drinking, but it is a primal urge and it is also an important part of a healthy relationship. He's not doing anything wrong in wanting more sex with his wife. He is handling it wrong as there is nothing less sexy than nagging and whining.
People don't always post on here when they are desperate and have tried everything. Sometimes they post on a whim, sometimes they post looking for validation for their POV before trying anything, sometimes they just want to let off steam. It's entirely possible that the OP hasn't properly discussed the issue with her husband and is in a negative pattern of not having sex, not wanting sex and rejecting her partner except for the odd time when she does it because it'll shut him up for a bit. Perhaps they need some therapy. Perhaps they need some more time together. Perhaps she needs to ask for more help.
What she doesn't need is to be told that he's a sexual abuser, which he isn't, and that the relationship isn't worth repairing. You don't know ANYTHING about this man as a husband, father, person or friend. ALL you know is that he pesters his wife for sex and she doesn't want to have sex with him.