I'd fight with myself that it would be ok but eventually I'd give in and would fussy cut it to follow the pattern. This sort of thing actually happens quite a lot with all sorts of prints and I've had to deal with it before... Sometimes you don't even notice there is a diagonal drift/pattern until you see that 3 yard long piece of border cut 8" or whatever wide.
In fact we had a discussion about it in my small group last week. I had a choice between three different fabrics, one was quite sweet, one wasn't really the right color and would drag the project down, and one is rather linear and we all decided was the best choice if I was going to follow the pattern and not the grain of the fabric. It will take a bit more work and effort, but colorwise it was the best of the three.
I'm usually big on cutting on the straight of grain especially on a border, but a good quality modern woven fabric shouldn't really matter much if at all. I fussy cut all the time with no attention to the grain.
The other idea is if it is going to be off, I skew it off even more. A print like that maybe I'd cut into long wedges and sew back together even.