WHO report published in 2005 warned that red meat likely leads to colon cancer
Analyzing the report you see that many studies supporting the above conclusion were eliminated
Most of the studies used were epidemiological, which lump meat eaters with people who eat junk food, smoke and are sedentary
Many rat studies, but rats are not naturally meat eaters
Human studies showing increased rates of mutations in colon with meat intake, does not correlate with cancer risk
On the other hand: Known risk factors for cancer such as Insulin resistance, obesity, visceral fat and certain autoimmune diseases are cured by a meat-based diet
The answer is NO. Meat does not cause colon cancer, in fact it might even be protective against it.
References:
1) WHO report
2) In depth analysis of the study by Dr. Gerogia Ede