I don't think the evidence against red meat is really all that good. On the one hand there's epidemiology--where red meat consumption is hopelessly confounded by the total dietary pattern, red/processed meat can correlate with trips to McDonalds, pizza, and in a society where people have been taught that red meat is unhealthy, it can negatively correlate with health-conscious people--benefits of exercise, not smoking, etc. hopelessly confound things. There are lots of threads in the research board on this forum looking at various arguments for and against red meat consumption.

Or you could skip all that. There's nothing wrong with a low carb diet that's based on poultry and seafood, until and unless you decide that red meat isn't dangerous, there's no use adding unnecessary stress to your life by eating food you're not comfortable with.

In the same vein, with "good" fats, I don't think nut fats or olive oil are any better (or worse) in most cases than beef fat or butter. But better to do what you're comfortable with, than to end up off-plan because you think you're eating an unhealthy diet.