Thanks for your question.
From your history there are two things that stand out as possible causes of your eyelid swelling. You mentioned that you noticed the swelling and your cold
around the same time. A common cause of eyelid swelling is conjunctivitis
that could be caused by the some viruses that also cause a cold. Look out for associated "pink/red" appearance of your eye with discharge. This should resolve in a few days by maintaining proper hygiene of the eye.
You mentioned that you had stopped taking hydrocholothiazide as you are allergic to it but you did not mention why you were taking it. If it was for blood pressure control, then were you put on an alternate drug? If not, the stopping of hydrochorothiazide and subsequent use of Prednisone
could cause your blood pressure levels to rise with subsequent swelling of the eyes either due to kidney
disease secondary to hypertension
or due to the hypertension itself. Please look out for swelling of the feet, breathlessness and changes in your urinary habits, these would entail immediate medical attention.
Please consult your doctor if you suffer from hypertension.
I hope this answered your question.