C{tuple} of C{int} giving the timeout to use for this query. @param queriesLeft: A C{int} giving the number of queries which may yet be attempted to answer this query before the attempt will be abandoned. @return: A L{Deferred} which fires with a three-tuple of lists of L{twisted.names.dns.RRHeader} giving the response, or with a L{Failure} if there is a timeout or response error. r