What is the viability of a planet rotating on two axes?

I am a scriptwriter working on a science fiction story. As best as I can I like to reconcile my imaginary places to within the constraints of reality. Here is my problem:

Kettrah is by most means a tidally locked planet which mean that it rotates on one axis in the same time it takes to complete its orbit. However this planet is different in that it also rotates while it is tidally locked. Thus the north pole is locked to the star and the planet spins around that axis while the locked pole moves on its own axis to always face the star.

If you're having trouble picturing this: Imagine Uranus, but with one pole always facing the Sun.

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What is the viability of a planet rotating on two axes?

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