Red meat, and processed meat, and processed red meat, etc. certainly aren't great for you - cancer risk and such. Limiting their consumption makes sense for (long-term) medical reasons, often for economical, ethical and environmental reasons as well. In terms of acute food safety, most "developed" countries will do a good enough job to make sure you don't catch a pathogen from it. Can't assume everyone plays fair, but you also can't really assume they don't.

If you feel ill or have measurable changes to your health just from eating red meat, though... you might want to see a doctor.

I've been off red meat this year; no noticeable changes to health. I've gained a few pounds, but there might be confounding.