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A person who cannot "hold alcohol". Simply, one who is subject to the effects of alcohol quickly, most effectively in one beer.

Note, queer does not necessarily refer to the person's sexuality.
Jeff's a one beer queer. After a Bud, he was out.
by Mark August 05, 2004
A person who gets drunk off one beer, therefore making themselves look like a queer.
Clarence:"Hey Devin are you drunk all ready?"
Jim:"Yea he is, he's a one beer queer!"
by stanky slanky December 10, 2009