Homeless people in cold weather

Hey folks! I was walking around central square area around 11 pm ish and saw a homeless person shivering with cold. I bought them a hot coffee and checked in if they were okay. I was wondering if there’s anything else that I could have done to help them? I had an impression that homeless people usually get allotted some shelters in the winters. This might sound like a noob question but I felt pretty helpless and thought about talking to more-informed folks on this sub!