An overdelicate digestive system.    From Wordnet, Princeton University. 

Adjective : an overdelicate digestive system.    From Dictionary.com. 

It was a rather overdelicate way of phrasing it, and the moment it had passed her lips, she wished she had been more frank.    From Wordnik.com.  [A Funeral In Blue]

Juste's air was slightly mocking, and words of not overdelicate banter rose to his lips, to be instantly quelled by La Boulaye.    From Wordnik.com.  [The Trampling of the Lilies] Reference