touchy

Extremely sensitive or volatile; easily disturbed to the point of becoming unstable; requiring caution or tactfulness.

It is an extremely touchy situation, with everybody's patience wearing thin.

Easily offended, oversensitive.

He can be very touchy when you talk about his cat, so be as tactful as possible.

Ashley: Look at the size of that ship! Kaidan: The Ascension. Flagship of the Citadel fleet. Joker: Well, size isn't everything. Ashley: Why so touchy, Joker? Joker: I'm just saying you need firepower, too.

Inclined to engage in physical touch.