Can't intrude face without "removing skin"

I’m having trouble with the extrusion tool when trying to intrude a face.

As you can see the model clips through like an outer layer of the whole mesh when extruding. I cannot actually see an intrusion until I select and delete the two faces. And even when I can see the intrusion, I can tell that’s not how it’s supposed to look. It just looks… kinda fucked. Any ideas? I’m pretty new to blender. Haven’t used it since 2016.

Are you using a mirror modifier? If you are you might have to change the stacking order of your mods, or apply it first.

It could be that it has to do with the normals. Select everythin in Edit Mode and hit “Ctrl+N“