"Good evening, everybody. It's me, Padding!"
She looks exactly like Pudding and plays the exact same role as her in Extra Mode with very little differences in dialogue other than her name being said by someone.
Padding's true face is never seen, even in her profile. Being 48 years-old though, maybe that would be for the best.
"A comedienne who recently added an impersonation of Pudding to her act. She is 48 years old. She stars in song and dance shows at the Space Health Center." - in-game profile