stomach sleeping . HELP !

my daughter is 2 months old & the only way she will sleep more than 30 minutes at a time during the day is on her stomach. At night she will usually go 4-5 hours on her side or her back just because she's so tired from getting no sleep during the day. Well last night she woke me up to eat & I found her on her stomach ! I did not put her like that because I'm scared shitless that she will suffocate because I'm not awake to watch her. Even though she has great control over her head & neck I was horrified. At 2 months she should not be rolling 😩 I don't know if I should just start putting her on her stomach to sleep all the time or continue to let her take short naps during the day on her side (she has reflux & spits up/drools a lot). It just seems cruel to do that because she's so miserable & tired during the day but everyone says no to tummy sleeping. Any advice ?