It's a reference to the TV series
Heroes. Claire's superpower was to be able to regenerate from any injury, even fatal ones. Fans and characters in-show both speculated that (like Wolverine in the
X-Men universe), her powers made her functionally immortal.
Her uncle, Peter Petrelli, was an Empathic Power Mimic. Simply put, after meeting another super-powered individual and seeing them use their powers, he could mimic them perfectly.
Sylar was the main villain throughout the series. His power was a kind of super-intuition that let him understand how even the most complex things worked. He could also copy powers but he would have to kill the person whose powers he wanted to copy and examine their brain to understand how the power works and thus copy it. Interestingly, Sylar later learnt a non-lethal method of copying powers that involved learning to understand the person he was trying to copy. It occurs to me that Claire might have been taught that latter power (Sylar reformed at the climax of the show for reasons of his own).
The point is that Claire could throw herself thirty feet onto hard concrete and regenerate, so falling from that wind turbine wouldn't be much of a feat. Similarly, living for thousands of years after civilisation had moved on from Earth and then becoming the protector of the new civilisation arising in its place is within her abilities. Who knows how many other Supers' powers she might have also learnt to copy? Finally, with her power levels, it would make sense that the Praesides had exiled her on Earth to protect themselves and their 'perfect' society from her.
I suppose the reference wouldn't work with someone unfamiliar with Heroes, though.