my cat likes to drink warm water out of our water pan that we keep on heater register.
Because it’s all comfy and doesn’t make her cold.
Like @zenvelo said warm water might be soothing or it may be reminiscent of when she was a kitten and nursing warm milk from her mother.
Maybe a dental issue. I have had some dental problems where cold was a huge issue.
I’m guessing it’s a comfort thing. People love hot drinks of all kinds, so why wouldn’t animals like warm drinks as well?
May be because your cat is feeling more comfortable drinking warm water.