Oh OP, I can understand that feeling of resentment about how dramatically your life has changed while his, to you, seems to have stayed the same.
Except it really hasn't. We don't understand the dynamics of your relationship, but I can see, clearly, that this guy seems to be going out of his way to make life as easy and lovely for you as possible.
Yes, he wants to continue his love of training, so gets up at 4am to do it so he can come home straight from work.
He comes home straight from work and immediately takes over childcare - bathing and settling your daughter, then cooking dinner for you.
At weekends he gives you a lie in, so you can rest.
At weekends, he takes the baby out to do some of the essential stuff, like shopping, so you can have some time to yourself.
Quite honestly, I think you have very little to be upset about. He seems to be going over and above what he could be doing. Most families, parents share the dull stuff like shopping. Do you ever put your daughter to bed? Do you ever bath her? Do you ever give him a lie in at the weekend or let him relax when he comes in from work and sort out your daughter and dinner?
I absolutely don't mean to be harsh, but relationships are all about give and take, sharing the crap and enjoying the best bits together. This doesn't seem to be happening here, and could be a reason you're reacting to things so extremely. Do you feel like you and he are a team, and you're working together, or like you're running a solo race and your daughter is the baton that gets passed between you?
I think it'd be worth talking to someone - health visitor or GP as it does sound like your resentment could be part of a bigger picture. A young baby, a still-new relationship and feeling dreadful can all be taking their toll on you, and you could well be a little depleted or depressed.