If I fell at a hotel near their swimming pool and I have a broken ankle and a torn ligament what is the hotels policies or are they liable?

I'm sorry to hear about your injury. These cases can be quite complicated. Depending on what happened, the hotel may well refuse to offer you any assistance. You really should speak to a lawyer who has experience in handling claims of this type - most lawyers do not.

Ask if the hotel has med-pay insurance. That will pay a limited amount for med bills only. If your fall was the result of their negligence you may have a claim, but not if it was your fault, running, drunk, texting, etc.