1) Difficult to handle 2) Easily offended 3) Huffy 4) Oversensitive 5) Quick to take offense 6) Requiring great tact 7) Sensitive 8) Thin-skinned 9) Uber-sensitive Found on https://www.crosswordclues.com/clue/touchy
Touch'y adjective [ For techy , tetchy .] Peevish; irritable; irascible; techy; apt to take fire. [ Colloq.] « It may be said of Dryden that he was at no time touchy about personal attacks.» Saintsbury. Found on http://www.encyclo.co.uk/webster/T/75