Dede:
If your triglyceride levels are so high, I would have expected your doctor to set you up for a consultation with a dietician AND give you a prescription for lipid lowering medication, something like Lipitor.
You modify your diet, not necessarily by eliminating meat all together, but by substituting different varieties of protein instead of red meat (beef is the main offender).
If you don't have any problems with allergies, you can try a couple of meals a week of fish (not salmon, though, too fatty; and preferably baked or broiled instead of fried) and a few meals a week of poultry (chicken, turkey) and limiting beef intake to a lean cut once every couple of weeks.
If you want to try vegetarian dishes a few times a week, that's great too.... but you don't have to eliminate all meat from your diet forever and ever. Be careful with cheese and other dairy products - it comes from COWS(beef) - and unless you're using low-fat varieties (like skim milk mozzarella) - it might negate the fact that you're consuming less beef. (Cheese is my weakness too... I have to watch my intake..... the higher milk fat is always the stuff that tastes the best <sigh>)
The other thing that will help a lot is to increase your veggies to compensate for the restricted meat intake. Veggies have lots of water in them and will help flush out all that bad stuff from your system. They also boost your fibre intake, meaning you'll feel full faster, with less calories. Watch the salad dressings.... a little olive or canola oil with lemon juice or vinegar is fine.... I actually like a wedge of lemon to squeeze on my salads - no fat, no calories. Season with herbs and spices when you bake, broil or poach your chicken and fish, instead of using butter or margarine for flavouring.
Don't forget to drink lots of water, and try to do some moderate activity - even walking around the block - to help you burn fat and flush it out of your system.
Let us know how things go!!
Love, Scully