Place the poultry in a large roasting or oven pan or a large baking pot with lid or Dutch oven.
Add the olive oil and the water. Season it with thyme, salt, black pepper, sweet paprika, and garlic powder.
Position a rack in the lower third of the oven and bake with lid on. If there isn’t a lid, cover with parchment paper. Estimate that you need one baking hour for every 2 pounds (1kg) of meat. A 9-pound rooster takes 4 hours to bake!
Every 50 minutes, remove the poultry from the oven and coat with the juice using a big spoon.
In the last 50 minutes, add the potatoes. If it needs more liquid (probably not), add some more water or broth, preferably hot. For the last 30 minutes open the lid or remove the parchment paper.
When the desired browning has occurred and the thigh meat has reached 180°F (82.2°C) (using a thermometer) and 160°F (71°C) in the stuffing, remove from the heat. To check without a thermometer, stick a small sharp knife in the fattest part of the poultry (between the breast and the thigh). The juices should be clear and the meat should be white.
Transfer the poultry to a cutting board, and cover loosely with foil. Let rest for 20-30 minutes before slicing.