When I did Civil Law (albeit 30 years ago) the first question asked of the potential Plaintiff (now, I think, Claimant) was ‘Have you got any money’? The second question was ‘Has the Respondent (or whatever the other side is now called) got any money? If he/she is what lawyers call a ‘man of straw’ ie no assets - then forget it.
I can understand the airline banning her for however long.... but suing her would be a waste of money, although a CCJ against her does screw up her ability to obtain credit in the future.