First time dad

Is it normal for a first time dad to be nervous about everything ? I feel like I can’t enjoy my baby being a baby cause I’m am constantly having Anxiety about things that could go wrong (sids , autism , childhood cancer ) in the moment everything is fine. He was born 2 months early . He is 6 months , 4 months adjusted . I’m constantly googling things that lead me down a rabbit hole . Ugh!! Any advice would be greatly appreciated !