My fabric survives AZ heat, so yours should be fine. I'm a snowbird - I leave AZ before it hits the 90s, and we don't have a/c, so the fabric is in really HOT rooms when the temp climbs above 110.
If your DH complains about how much fabric you have, point out that you bought it BEFORE the prices went up! Now that same fabric would cost as much as $11/yard! So you've actually saved a LOT of money by havng a big stash!
That's my story, and I'm sticking to it!