unattached
un-at-tached
adjective
Not currently involved in a romantic relationship or committed partnership.
"She remained unattached for many years."
adjective
Not physically joined, connected, or emotionally bound to something else.
"The loose wire was unattached."
Thesaurus
Synonyms: unpromised, uncommitted, unpledged, unengaged, free-swimming, vagile, unconnected