Tummy time conversation


My daughter is a month and couple days old. I've started tummy time ( I know kinda late) but I'm finally getting settled in our new house and my one year old on a schedule. Anyway my daughter has been crying a lot and refuse to sleep. I started tummy time and I kept a close eye on her, but one little problem she was so comfortable and didn't make a sound! She had fell asleep with her head to the side of course. But this concerns me a lot because she loves it and it makes her comfortable. What to do? Nothing soothes her, not the swing, bouncy seat, a warm bath, swaddling. Literally nothing I've tried it all! I've never agreed with babies sleeping on their tummies until they roll over. My son was never a good sleeper until he could start sleeping on his stomach and that's the only way he sleeps now!