Sister rented home at resort. During walk through noticed closet door broken. They did not fix as promised. Door fell on me. Sustain bruises/swelling

I was vacationing at a resort where my sister rented a home for the weekend. She did a walk through before moving in. She noticed closet door was broken and dining room chair they told her this would be fixed. Unfortunately I stayed in that room. While unpacking the closet door fell on me. I screamed and family members who are my witnessed remove door from my body. Management was called and sent someone to fix door. I woke up the next day with bruises and swelling on my left arm. I went to guest services and was told to write a statement and he completed an incident report. He also took several pictures. I was told management would contact me asap but heard nothing from them for two months. I sent an email to the general manager since my phone calls were ignored. Manager called back and apologized for my ruined vacation but they do not offer any compensation for this incident. Owner was notified per procedure. He stated that he can provide a discount . Can I sue? What is my next step