and lo and behold , the plane did n't board her flight because her cleavage was " inappropriate . " a southwest spokesperson told jezebel that a southwest worker told her she could n't fly unless she covered up her cleavage . jezebel reports that the woman , avital — she only gave her first name — was boarding a 6 a.m. flight from las vegas to new york on june 5 when a ticket agent remarked that she could n't fly unless she covered her breasts . why wo n't southwest stop kicking people off flights for reasons even the airline will admit are over - the - top ? i did n't want to let the representative 's big feelings about my breasts change the way i intended to board my flight , " she told jezebel . " advertisement check out avital 's big feelings about my breasts change the way i intended to board my flight , " she explained . "