Whoa, hey, back off on the "o" word - working in the pleasure district makes that kind of touchy, y'know!
... But I think I get what's going on here.

You're one of those monsters that started off as... ugh, what's the word those freaks with the papers used?
Humid? Humate... I know it wasn't "humor" - nothing's funny about getting stuffed into some kind of squishy leather suit.

[That's coupled with a wiggle of her fingers in front of her mask - she's talking about skin. Skin and muscles and other... squishy things.
Puppets have skin, sure - but theirs isn't... entirely he same as a human's.]

Well, whatever. Point is - I dunno what it's like wherever you "humids" live, but Puppets don't live like you hippy-dippy flower children do.
And even if I'm covered in gunk, I've still got all my Puppet parts! Look -

[Siouxsie brings her hands in front of her, then, to pull back on the skin of her finger; taught against the bones and joints underneath it.]

It's just like a Puppet finger! Just... covered in this junk.

[Conveniently, she's skipping over the Christian thing. Just pretend it didn't get brought up.]