Either way, I still would advise you to see your doctor because by the description it sounds as if it is infected this is why it is red (inflamed) and painful.
The cartilage before the actual canal itself is still part of the ear.
Best wishes.
It's not in the canal it is still on cartilage before the outer canal starts I just used canal side to describe where on the tragus it was
Sorry forgot to mention, that as this is on the canal side, it is likely to be ottitis externa. Infection of the outer ear canal. Don't poke it about, you will spread the infection and make it worse.
See your doctor as soon as you can, as you don't want the infection to spread into the middle ear or anywhere else.
You shouldn't be applying anything to your ear, let alone freezer applications.
You need to see the doctor with this. He will be able to examine and and decide if you need any antibiotic creams or antibiotics if it is an infection. Sounds like a blind boil.
Best to get it checke out by your doctor.