Definitely not a big deal. Plus, it seams as though, you wouldn't be getting there too long after it drops anyways.
Another thing that you can try is the character meal at Crystal Palace. I mean, it has Pooh and friends, instead of Mickey and friends as the characters. But, you can book an early ADR there before the park opens, and they will let you in. Then, you might be done in time for rope drop.
Either way, don't stress it. Take it easy, otherwise you'll be too worried to enjoy it.