Working night shift with children

Just finished my first night shift. My baby is 11 months old and I feel terrible having him go to daycare so I can sleep. I’m bawling cause I don’t want him to go cause I feel guilty. It’s only 6 overnights a month, working 6pm-6am but it’s horrible. I know I need the sleep but I want to go get him from daycare! Does anyone else feel this way? My hours were switched, hopefully temporarily as I was working 7-3pm everyday and this is horrible!