That seems unlikely unless you are using a right angle cable in a right angle header. Is the actual SATA header interfering or is the cable plugged into it interfering?
Basically almost all major graphics cards are the same in terms of bottom clearance, with only the length being a problem in some instances. It seems very unlikely that Gigabyte would place anything on the board that wouldn't allow 90% of gaming cards to be installed, and it not have been a known issue prior to your post.
Seeing a clear picture of the interference, with your board and your card, would be helpful.