I would have thought the repeat form would be enough, if the packaging of the pills has a prescription label on it with your name on. Tablets in blister packs never attract much attention. I always take my blood pressure and cholesterol lowering meds in my hand luggage, with the repeat slip, in case they lose my hold luggage. They never show up as suspicious on the x-ray machine at security. I think there was a thread once about codeine not being allowed in some country or other, so you're right to check.
I would suggest you alter the time you take your pill to allow for the time zone difference, especially if taking progesterone only pills where they must be taken at the same time every day to be effective.
I think from what I've read, any medicine which needs a prescription (not available over the counter) is considered a controlled drug in UAE. It's possible you might need a proper prescription from the GP and not just the repeat form. The pills must be in their original packaging and labelled, and you must not take more than 3 months supply. The name on the label must match that on your ticket.
Speak to the Dr surgery and ask their advice, in case they need to supply a covering letter.