It sounds like you have clear transfer tape that has really low tack. It's usually pretty thick stuff, with a sort of rough texture Is that what you have?
At any rate, it may not have been properly burnished to activate the transfer tape's glue or the glue on the sticker may just be stronger.
It's a weird concept, but if you peel the backing paper off the transfer tape and sticker rather than try to peel the sticker and transfer tape off the backing paper, you'll probably get it.
I'd try that first and if it doesn't work, you should reburnish it. It would be best if you have a squeegee for graphics, but a bondo spreader is close to what you want. Just lay it out flat and sweep the squeegee over the transfer tape with some pressure. Not a ton of pressure or you'll screw it up.
I'll take a picture to show you what I mean about peeling the backing paper off since it doesn't translate into words well.
