You wouldn't even need to run during your flight. As the crowd disperses, you merely need to walk with purpose as if you've somewhere you need to be just like all of the other veiled women. People rarely stop someone who looks like they belong somewhere and are going about their regular business.

If you run, you'll attract more attention. No one would pay any mind to just another bridesmaid leaving the chapel when the ceremony ends. And with all of the bridesmaids veiled, no one would be able to tell which bridesmaid was going where. There'd be no telling which direction you fled in even after the ruse was discovered.