Nervous about hospital stay

Hey mommas. I have an occasional cough and at times a runny nose. I had a sinus infection about a month ago but that’s been taken care of. I’m 37 weeks 3 days and I swear I’ve had this cold all but two weeks of my pregnancy. I’m nervous I’m gonna cough and they’re gonna freak out. I haven’t had a fever and nothing has changed my whole pregnancy. I hear about people’s spouses being sent home due to coughing in the room so I can’t help but think, what if I cough? Anyone else feeling the same way or have an answer?