There is nothing dangerous about being outdoors during an eclipse
Staring at an eclipse isnt more dangerous than staring at the sun on any other day.
The problem is that msot days staring at the sun isnt interesting so you arent tempted to do it. (plus it hurts, while as an eclipse occurs it hurts less since the sun is partially covered which of course makes it LESS dangerous than staring at the sun on any other day but easier and more compelling to do so.)
Bottom line. Dont stare at the sun without eclipse glasses, not today not tomorrow nor any day.
There is no reason to cancel your appointment