Red meat will increase your risk of cancer, heart disease, and other auto-immune diseases. It comes down to how many chemicals, hormones, and other contaminants are in your meat, how much of it you eat, what you eat with it, how many other anti-oxidants you eat daily to cart away the affects of the hormone injected beef. Read The Omnivore's Dilemma on a fairly even evaluation of the meat industry. Meat in moderation makes sense. The rest of the world tends not to be so crazy about meat ingestion as the USA. If you're eating grass fed and free-roaming animals then your risk is a lot less. Most people won't pay for the added expense of buying such meats. They aren't cheap.
Triglycerides and LDL are part of it. Other things to look at to assess your risk would the ratio of total chol. and trigclycerides to HDL. Those ratios are probably more important than LDL, HDL, or trigs by themselves. Then there's also HS-CRP, homocysteine, ADMA, LDL pattern size A/B, PLAC, Lp(A), fibrinogen, and other markers to address your total inflammation and coronary risk. If you can find out your coronary calcification levels that's really the bottom line. This just brushes the surface though. Total cholesterol and even LDL have been way overblown over the past 40 years. The other factors above are probably more important.
Back in 2009 I dropped from eating meat 2X per day, 5 days per week to at most once per day. That was a 45 year habit. Red meat went to at most once a week, sometimes only 1-2X per month. Salmon and other fish replaced meals of beef, and chicken. I never felt better and with unlimited energy. It didn't hurt that I melted off the 50 lbs I gained since 9th grade. I agree about avoiding dairy (it's for infants and young kids) as most of what we get out there is laced with hormones, etc. Sugar and processed "dead" flours are other things to avoid. Quality grains, veggies, fruits, spices, nuts, seeds, eggs, etc. should be the bulk of your diet. Meat in moderation. Use it to accessorize, not as the primary source of calories and fats.