not in my backyard: used to express opposition by local citizens to the locating in their neighborhood of a civic project, as a jail, garbage dump, or drug rehabilitation center, that, though needed by the larger community, is considered unsightly, dangerous, or likely to lead to decreased property values.
NIM·BY (nĭm'bē) n.
pl.NIM·BYsSlang One who objects to the establishment in one's neighborhood of projects, such as incinerators, prisons, or homeless shelters, that are believed to be dangerous, unsightly, or otherwise undesirable.