She does- just barely.

You make sure that your man doesn't go easy on her.
Admittedly, it would be easy to given what she is doing to him.

He makes sure to stimulate the outside of her pussy...

She knows that it will be close.
She can't lose.

Tia works her tongue and takes him deeper than she normally would to get the desired results.

Your man shoots his load down her throat...

He gives you a look.
You nod, somewhat disappointed.
That said, you expected her to have some tricks up her sleeve.

"You've earned a break," you say, approaching the bound Tia and your man.
You slap the man on the back and you both leave.

An hour later, you and your man have Tia bound (still naked) to a wooden structure with her legs spread.

Your man flogs her sore/wet pussy until she is given the same offer- suck and cum or get punished.

A strong vibrator works in your favor.

She tries to resist.
She cannot.

She agrees to suck cock again.

Your man- now naked- offers her his cock to suck...

Of course- you're not going to let her off that easy.