The state or quality of being excessively sensitive(noun)
Wiktionary.org : Text is available under the Creative Commons Attribution-ShareAlike License
Use "oversensitivity" in a sentence
"Saturday was full-on "this is going to be a two-week flu", complete with chills and fever, skin oversensitivity, mild delirium, et cetera."
"Government oversensitivity is a real issue, and one that came up in a weird context lately that reminds me of this case."
"Speaking of sensitivity...and I'm deliberately not saying "oversensitivity", the recent flap about Kate Winslet's movie "The Reader" is a perfect example."