The Collaborative International Dictionary of English v.0.48:

Touchiness \Touch"i*ness\ (t[u^]ch"[i^]*n[e^]s), n.
   The quality or state of being touchy; peevishness;
   irritability; irascibility.
   [1913 Webster]

WordNet (r) 3.0 (2006):

touchiness
    n 1: feeling easily irritated [syn: testiness, touchiness,
         tetchiness]