How would I go about making a 2D-game walking system?

Ok, so, what I mean by 2D game walking system, 1.) Only be able to walk left-right, (and jump, but that's a whole separate system.) 2.) When you walk a different direction, have the character NOT rotate their whole avatar, (as it does currently, I'm sure you are all well aware of how your character turns around if you walk a different direction.)

What I've currently done is disable left, forward, and backwards walking, and tried to make my own left walking system, but honestly it didn't work out. (If anyone knows how to do that, that would be great, if you can share it.)

State of the game currently: Camera is stuck in a constant position facing the character, (follows them, etc. just faces the character) Left, forwards, and backwards walking are all disabled, (I can enable them if you know what to do, and tell me how.)

I'm just currently out of ideas on how/what to even attempt to make it work. How would I go about making this?