We eat red meat a couple times a week. I tend to border on being anemic at times and I like the protein it provides. My cholesterol is 115 so I don't think it's gotten me to the verge of a heart attack. Have you had lab work done lately and is anything in a concerning range? If so, you may want to avoid it for some other options.
I would think that the fat would be more problematic than the calories to overall health. I'm not sure because I don't get ribeye, but I believe it is one of the fattier cuts...one of the marbled ones?
If you are concerned, you could maybe switch to a leaner cut, and be sure that you cook it in a healthy way (I live in the South, and people really fry steak here...)
Check out this chart for leaner cuts of meat for comparison's sake, if you're interested.