Petty but

My husband just started a new job. He likes to wake up at 10. Conveniently, I have to take medicine at 10 am so I have an alarm. When my alarm goes off, I turn it off quickly so I don't wake the baby. His alarm literally goes off 3 minutes later and it ALWAYS wakes the baby. I told him, "baby, you dont need an alarm. I will wake you up." Our baby will sleep until 11 am if she didnt have a stupid alarm. Then, he doesn't help with her because he "has work". he gets home late and I wait up for him because he likes to spend time together but idk, I feel like it's a stupid argument because I HAVE to take medicine so i have to wake up anyway. He says he doesn't want to trust anyone to wake him up. He got so upset with me this morning when I told him that he keeps waking up the baby. I honestly am thinking of sleeping in a different room.

Am I being petty? Because damn it, I'm tired.