Okay Sweetheart bear with me here. I've never been married but I have been in long relationships (10 yrs in two relationships), which let me know marriage in those two relationships was not for me. Although there weren't any exchanging of vows, I do know what the pain feels like.
My suggestion would be forgive yourself. Know that there was nothing you could have done to change his mind. I think it was a very cowardly move on his part to give you hope by attending counseling with you and mostly likely has no intention of really putting forth the effort to make your marriage work. Please don't get me wrong, I am not bashing him at all, however, what I am saying is men and women view things differently. Men are more visual while women are more emotional so it's difficult for us to deal with pain of the heart but there is HOPE and you CAN get THROUGH this.
You can be a single mom and be the best single mom you want to be. You can provide for your child and not concern yourself with whether or not he comes to see your daughter or takes care of the child support as he should or whatever the case maybe.
As a woman, as a single mom, we step up when we need to. We step up to the plate and take hold of the reins and make it through because it's apart of our makeup. It's not the role God intended for us to take on BUT we are supported by Him when we are put in this unfortunate position. Believe me you can do what you have to do for your child. Yes, it's going to hurt and you will have some good days and some bad days but you will be okay. I promise! Will it be easy, I don't know. I cannot honestly answer that question because I don't know who you are personally but I can tell you that you already have the power to make it through this ordeal because you are a woman and God blessed you to be a mother. The most important thing you can do right now for the betterment of you is to take care of you mind, body, and soul. When your little one sleep do something for yourself such as taking a bath and pampering yourself with that special aroma you like. Find something you enjoy doing for yourself while she is sleeping and relax for yourself. The other thing I would recommend doing is praying asking God for His help to get you through this, get you past this. And you must ask Him to help you to forgive yourself and your husband. you have to forgive him because in doing so he will no longer have a hold on you and then you will start to heal. Don't allow the hate, which is easy to feel right now, take over your feelings to where you cannot focus on what is important. You understand what I am trying to say.
I've been a single mother most of my adult life with four children. Yes it's been hard, it's been difficult but I wouldn't change a thing about my life as my children's mother. What is amazing to me as a mother, a single mother, is no matter how many mistakes I've made and bad decisions I've made, I have the best love I could ever ask for...unconditional love. My kids love me no matter what. They never held one thing I did or bad decision I made against me.
Sweetie, you can make it through this because you are a strong women, you just forgot your strength but I promise you, it is still there. So dig deep inside and find yourself, find your strength for you and your daughter. I promise, it does get better if you want it to. I sincerely hope this helps in some way. I was not sure if I should respond or not but then the urge was too strong to ignore. I really from the bottom of my heart hope there is something in these words that will be of some comfort to you.