yes. waterpump impellar broken = no heatz bro. if it werent winter it would over heat when you start driving, and at idle temp would be fine.
edit, for 2k you better get a reach around. a timing belt job shouldn’t run more than 600$ or so…
drive car to waynes little shop of horror, or tow if needed. ill AAA for you myself if its seriously 2 grand for a timing belt/wp job!!