Offcurse you can take red meat with red wine. It is good combination. I am also taken red meat with drink. Don’t worry you can use it for better health.
For cooking white wine is what most people use. I think there is rules about what color of wine to use in particular kind of meat. It still depends on what you much prefer.
There is no problem in having white wine but, it is said that white wine goes best with meat and pork and red wines can be even taken with spicy meats but still there is choice you have to make in between dry and soft taste of wines.
Red wine can be taken with red meat. I do not know if it is OK to take red meat with white wine. But it is great to take white wine with thai, indian, mexican (spicy) food.