You would need to have a new join for each new property
SELECT DISTINCT loyaltyMemberID
from members as m
INNER JOIN properties as p1 on m.id = p1.user_id
INNER JOIN properties as p2 on m.id = p2.user_id
INNER JOIN properties as p3 on m.id = p3.user_id
AND (p1.prop = 'gender' AND p1.value = x)
AND ((p2.prop = 'age' AND p2.value = y) OR (p3.prop = 'censor' AND p3.value = z))