Kinda depends on where you plan on doing most your fighting. If you plan on spending loads of time in FSC go with the DA. If you find you spend most your time doing jelly runs, get the GF.
Also would depend on your other weapons. Clearly, you'd want to fill in the wholes of your arsenal. If you have a nightblade already...you wouldn't need the GF. If you are lacking shadow damage, but have an Ice sword (elemental) than the GF would probably be better.