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Wiktionary
unadoptable

a. That cannot be adopted; unsuitable for adoption.

WordNet
unadoptable

adj. difficult to place in an adoptive home [ant: adoptable]

Usage examples of "unadoptable".

They were hopeless unadoptable children with terrible birth defects, but every one of them had a healthy young brain.

By aligning herself with a speechless, damaged brother, she made herself unadoptable, unplaceable.

Eight months old, severely handicapped, and born with a heart defect, Jane was labeled unadoptable by Social Services and the nurses at the hospital where Alessandra did fund-raising volunteer work.