If you are not in Qatar yet, then why don't you book your car rental from UK itself? They would wait for you at airport and also provide you with a car that best suits your need. I bet you have Budget Rent a car, AVIS rent a car, HERTZ car rental etc. branches in the UK.

If your in Qatar, I am afraid you might need to have a valid Qatari driving license as its a different case now.