I'm still not meaning to be an alarmist, but from things I've read anyone active with sweaty palms could just touch an object they have in the last few hours, possibly days in some environments, and rub their eyes once or nose and get it.
Doctors that know what they are doing in full Hazmat suits have been contracting it, it is something to worry about in my mind.
Anytime you are walking into a contained environment with known infected persons, possibly insufficiently sterilized equipment (though you hope everyone is doing their job), etc there's going to be higher risk, even if you are careful.
