det·ri·ment 
(d
ĕt
r
ə-m
ənt)
n.1. Damage, harm, or loss: took a long leave of absence without detriment to her career.
2. Something that causes damage, harm, or loss: Smoking is a detriment to good health. See Synonyms at disadvantage.
[Middle English, from Old French, from Latin dētrīmentum, from dētrītus, past participle of dēterere, to lessen, wear down : dē-, de- + terere, to rub; see terə-1 in the Appendix of Indo-European roots.]