How cold exactly is Edward?? Bella touches him so much, isn’t it uncomfortable?

He's around room temperature. The descriptions of him being "like ice" are basically exaggerations. His skin isn't actually cold enough to hurt someone or give them frostbite. It might be weird not to feel body heat, but given that the only other person we know Bella's being romantically involved with is Jacob with his werewolf extreme body heat, she doesn't really have a "normal" comparison.