Getting induced&SICK, HELP!!

cc
Im getting induced on the 21st at 39 weeks due to GD&i JUST started getting sick today due to the crazy weather! I have to keep clearing my throat(feels like mucus there) &i already started with the cough&let me just say,i dont tend to get sick alot but when i do....my cough can last a month+!! I seriously DO NOT WANT TO GO INTO LABOR WITH A CRAZY COUGH! Pleaseee HELP with any remedies!!! My midwife is WAYY too strict&has told me to drink teas in the past but last time i did that i had a cough for a whole month😢😢