do you think its okay to sleep while your baby is awake? I'll give you more context. so my daughter…

do you think its okay to sleep while your baby is awake? I'll give you more context. so my daughter is typically on a schedule and she doesn't usually wake up to eat until around 5:30 I am but last night she woke up around 4 but she was totally calm fine just doing her own thing. So I went back to sleep until 420 when my alarm went off. I told my boyfriend to go in there with her while I got ready for work and the whole time he was just throwing a fit and trying to get her back to sleep and she started fussing. I'm convinced that she started fussing because he wouldn't stop messing with her. I kept telling him to just go to sleep she's fine. Until she starts crying or showing signs that she wants a bottle you don't have to mess with her. he only sleeps like an hour longer and then he gets up anyway because he has to go to work. but now he's all mad at me is saying it's my fault when he shouldn't have messed with her