cool cat is a black belt in karate and a championship wrestler, lois is a black belt in atleast one martial art and probably recieved some form of military training, so skill wise their relativly similar, and physically their equal in all but lifting strength, in which cool cat has the advantage, lois should have an intelligence advantage, tough call but i think i'd give it to cool cat.
Eh, I'd say Lois's competency and experience being around people like Superman tips this in her favor. She's used to being in situations with superhumans too often to let a giant cat get a one-up on her, with their similar strength.
Dude, are you aware of the amount of times Lois has...actually done stuff in the comics? Like the many times she's had superpowers and fought the people herself, or how she used her wit to get her out of situations?