3rd trimester sick with a cold; increased Braxton hicks

I'm sick with a cold. Taking tylenol and pseudoephedrine for congestion. Saw my doctor Monday for regular check up. She said let's the cold run its course. Body aches and fatigue like a cold.

Anyways I have Braxton hicks everyday for a few months now they go away after 45mins to an hour. Not concerning to me. But they're a little more intense now since I've had the cold. Not consistent, I'm having trouble timing them. Anyways I dont think I need to worry as they're not consistent but I'm wondering if being sick can stress the body enough to cause labor? I googled it out of curiosity but found nothing. I'm just curious.