Its never a good idea, if the marriage is over, give a get.
Never is a very unforgiving word. There are occasions where rabbonim will advise withholding a get because it’s his only leverage.
It might be rare, though.
That was also a big “if”. Without knowing details, it may just be that although the woman is demanding a get, there really is still hope for the marriage. Popa is right; without knowing all the details well, it’s unwise to mix in.