is this ok in a marriage?

I've been having a lot of feelings lately most likely because I'm pregnant but mostly jealousy feelings and a few iffy things have been happening lately so I decided since I have my finger print on my husband's phone I should go through his messages just for my peace of mind, I do trust my husband but I just wanted to be extra sure everything was fine,

so I went through his IG messages and noticed he has been messaging a lady that is into collecting toys like my husband is and he was asking her how old she was and things like that and I felt like really there's no reason for him to be asking things like that

I have not told him anything because I dont want him to get upset

is what he is doing shady? or am I over reacting ?