Was the airline right to make her change her shorts?

Laura • I threw my pie for you
This woman was asked to change her shorts before boarding a flight as 'the burlesque shorts may offend other families'. She had to buy $22 shorts from the airport. The airline are 'allowed to refuse someone entry of their clothing is lewd, obscene or patently offensive'. 
Personally I agree with the airline, I really thought she was just wearing underwear. Shorts like that are fine for the beach but not really anywhere else 😕 what are your thoughts? 

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