unattached
adjective
1 they were both unattached and deeply attracted to one another:
unmarried, single, unwed, unwedded;
unengaged, unbetrothed;
wifeless, husbandless, spouseless, partnerless, without a partner/husband/wife;
with no ties, uncommitted, free, available, footloose and fancy free, not going out with anyone, on one's own, by oneself, unescorted, lone, on the shelf, unloved;
separated, divorced, widowed;
archaic sole.
▷antonyms attached, married, engaged, spoken for.
unattached Oxford Dictionary of English