If hot sauce gets into your eyes and you don't get the hot sauce out in time then the hot sauce in your eyes could lead to blindness.
But as long as you get the hot sauce out of your eyes soon enough there should be no harm other than temporary burning pain and possibly blurry vision for a short while.
I've gotten hot sauce in my eyes before as well as Jalapeno Juice and although it was painful it never caused me to go blind.
You can get the hot sauce out of your eye by washing it out with some water and then using some milk on a cotton ball or paper towel etc to dab and wipe the hot sauce spices out of your eye.
The milk neutralizes the spices so that you don't have anymore burning sensation.