For sin offerings, some parts were burned outside the camp.
Lev 4:3“ ‘If the anointed priest sins, bringing guilt on the people, he must bring to the Lord a young bull without defect as a sin offering for the sin he has committed. ...
7The priest shall then put some of the blood on the horns of the altar of fragrant incense that is before the Lord in the tent of meeting. The rest of the bull’s blood he shall pour out at the base of the altar of burnt offering at the entrance to the tent of meeting. 8He shall remove all the fat from the bull of the sin offering—all the fat that is connected to the internal organs, 9both kidneys with the fat on them near the loins, and the long lobe of the liver, which he will remove with the kidneys— 10just as the fat is removed from the ox b sacrificed as a fellowship offering. Then the priest shall burn them on the altar of burnt offering. 11 But the hide of the bull and all its flesh, as well as the head and legs, the internal organs and the intestines— 12that is, all the rest of the bull—he must take outside the camp to a place ceremonially clean, where the ashes are thrown, and burn it there in a wood fire on the ash heap.
Lev 8:14 He then presented the bull for the sin offering, and Aaron and his sons laid their hands on its head. 15Moses slaughtered the bull and took some of the blood, and with his finger he put it on all the horns of the altar to purify the altar. He poured out the rest of the blood at the base of the altar. So he consecrated it to make atonement for it. 16Moses also took all the fat around the internal organs, the long lobe of the liver, and both kidneys and their fat, and burned it on the altar. 17 But the bull with its hide and its flesh and its intestines he burned up outside the camp, as the Lord commanded Moses.
The blood and internal fats were always offered to God. Some body parts and internal organs were burned outside the camp for sin offerings of bulls.
In any case, there would be no stinky smell.
and you present to the LORD food offerings from the herd or the flock, as an aroma pleasing to the LORD--whether burnt offerings or sacrifices, for special vows or freewill offerings or festival offerings