cavaleir 1996 chevy question?

ok darn my luck about 2 days ago the serpitine belt as well as the waterpum and radiator hose went out on my car.. i been 2 days trying to fix it one to get the parts adn try to work on it and all day today .. the problem is i cant get the last bolt off the water pump.. i was wondering if it would cause damage to mu engine for it to sit with lil or no antifreeze/water at all in below freezing weather.. i try to work on it in the above freezing weather but ive had no luck with the bolt im getting a tool today that should help but its already almost below freezing and getting to cold for me to work on it