I think there is something wrong with me

My LO will be 6 months on the 12. For the past four days she's been sick she has a bad cough with flem. Dr cant give her anything cause she still small. But lately I just feel like such a bad mom, I have no patience for her and I get irritated about everything, this morning she refused to breastfeed so I pumped, which I haven't done in awhile cause she's been eating from both sides lately, I pumped 5 ounces and give it to her she eats more than Half and starts coughing which make her vomit everything up, all over me and my bed which I had just cleaned from the night before, that annoyed me dnt know why I should feel bad for my baby which I do but I still got annoyed about vomit all over the bed. Then hubby comes in and gets mad at me because I left her on the bed while I went to clean up myself. What am I suppose to do walk around with vomit on myself all the house. Then he just leaves to work, she's crying and even more because I have to change her. I just feel like I shouldn't get annoyed or mad but I do is this just being tiered of hardly any sleep or is it postpartum depression, I've had minor issues before but not this bad. I love my baby but I just feel like I'm a bad person for feeling like this when she's sick and hubby isn't making it easier. He's made comments before like I'm doing a bad job taking care of her.