Any one else’s SO finding it hard to adjust to the baby?

Its our first baby, shes 4 months old. We’ve been together for 9 years and married for nearly 3. We both planned for her. Both excited and love her lots. Husband adores her really but usually only when shes not crying. He says he cant take it when she cries it hurts his head so he gives her to me. Ofcourse having a baby is a huge lifestyle adjustment but he seems to not be able to adjust properly to her yet. He cant sleep properly due to her so is always complaining hes tired for work, but he stays up late as hell even on a work night. When i say to him he needs to sleep earlier so he can get enough sleep incase she wakes us up, he says its the only time he has to chill after working all day. On days where he has work, i do any night feeds/morning feed and settle her if she wakes up in between. When shes down to sleep, i ask him to be quieter as shes a light sleeper (white noise doesnt work for us unfortunately) and he gets agitated with me saying i dont even let him breathe properly. He snores really loud at night so i have to get him to turn over lots of times in the night as she wakes up all the time due to it and he again gets annoyed with me saying hes better off sleeping on the couch as i wont let him sleep and he cant help it if he snores. I understand this ofcourse bt i also need sleep and if shes waking up multiple times due to it, its me that has to get up and settle her again. Its really taking a toll on our relationship because he constantly thinks i wont just let him be. I understand adjusting is difficult and mothers tend to adjust quicker than fathers do but we are so distant right now because he gets agitated with me and in turn i get agitated back at him for not being understanding. The rest of the time hes great with her, feeds, changes helps me bathe her and plays with her. I just want to hear opinions on if this period will pass or if its a real issue. TIA x