Medical Case for Yom Kippur

An ophthalmologist diagnosed a severe stye in the eye (after intense pain all night without sleep). The doctor prescribed an antibiotic ointment once a day and hot tea compresses on cotton wool every hour for several days until the swelling goes down. The question is what to do on Yom Kippur, and whether there is any way to make hot compresses, fearing squeezing. Thank you.

Hello,
It is permitted on Yom Kippur to apply compresses to an eye inflammation.
You can soak part of the cotton wool in the liquid and hold it by the dry part, thus avoiding squeezing.