Figuring out the age of a star is tricky business. It depends on the composition of the star, knowing its distance (so we know brightness and hence energy usage), and comparison with models of stellar evolution.
In this case, it is far more likely the age calculation for the star is off than it is that the current estimate for the age of the universe is off (which is a much more direct measurement).
When the accelerating expansion rate of the universe was first discovered, it looked like several white dwarf ages were more than the age of the universe. That didn't turn out to be the case, but we learned a bit about white dwarfs in the process.