excellent. let's begin by defining what makes a sausage... well, a sausage.
the essential traits of a "sausage" include:
encased in a skin, usually made from prepared animal intestine
typically raw before being grilled or fried
let's tackle these one by one.
is the Doctor a cylindrical food item?
depends on where you're standing, but overall, yes. i'd say that he's roughly cylindrical and much taller than he is wide. many species, including the Ravenous, have attempted to eat or consume him, making him quite edible.
is the Doctor a length of minced meat?
let's define the verb "mince," seeing as both of our sausage definitions included the word.
on one hand, we can read "mince" as referring to the act of cutting or grinding meat into small pieces. when the Doctor regenerates, his entire body is changed, atom by atom; this could be seen as "mincing" his "meat," in a quantum sense.
THIS definition, however, is even more accurate. while some Doctors are more often seen striding around with a long gait, others can certainly be described as "mincing," "camp," "waddling," and "foppish."
therefore, i'd argue that the Doctor is slightly more of a sausage when he's:
which, let's be honest, both happen quite often.
is the Doctor encased in a skin?
yes! in fact, it's been suggested that the bodies of time lords may be dimensionally transcendental, containing organs and bones that shouldn't be able to fit within the outer dimensions of their bodies (enormous skulls, 27 brains, etc.). basically, he's a stuffed sausage skin.
is the Doctor typically raw before being grilled or fried?
yes again! not only is he raw, but he's also much colder than the average human, meaning that he's slightly chilled. you might need to defrost him before putting him in the deep fryer.
additional evidence of the Doctor being a sausage: