To actually answer your questions, it depends on the "clearance agreement", but it likely just assigns them rights and doesn't try to remove yours. So you can still claim you shot the image and use the image in your portfolio, etc.
I've never been able to pay my bills by claiming I took a photograph...
Which wasn't the question.
Since you didn't mention whether or not you're getting paid for the usage, the rest of the posts here don't matter at this point, although I would suggest you do receive some compensation.
I didn't get the impression that any payment was in the mix...
He didn't state one way or the other.
While the point of doing TFCD is to present the model with images they can use to promote themselves, the use by the show for advertising and other things would overstep that, imo.
What does the TFCD release say? Everyone I've ever signed has not only said that I would not sell them, but that the model wouldn't, either. She can use those photos to get a gig (say, by attaching it to an application to get on a reality television show about models), but that's it. Her use of that photo can go no further. Using the photo on a television show constitutes commercial use. I would be shocked if the OP signed a TFCD release which permits this...
The model isn't selling the image. Not sure where you came up with that.