I've done this several times for my aunt who does not have a credit card.

First, make sure that your uncle makes the booking in your name. He can pay with his card, but when the booking page asks for the traveller page, give your name.

Next, the day of arrival (or 1-2 days before that), your uncle would either have to call the hotel himself proactively and provide his credit card details (through scanned email or fax) - or the hotel would probably keep some cash amount/hold on your debit card.

Overall, its not a huge hassle as long as the reservation is in your name