What are potential complications of painful external hemorrhoid if it doesnt go away with home remedies after 10 days?

It could rupture and cause bleeding. It could get clotted and also could infected and form an abscess.

Or clotted, bed rest for 24-48 hours with feet above hips, warm tub soaks for 15 -20 minutes 3-4 times per day and sometimes ice pack for 5 minutes at a time will usually work. If thrombosed and hard to the touch might consider incision and drainage by colorectal surgeon in the office to shorten the time of discomfort and swelling and bleeding.