Do taxis have any right to refuse this passenger twice?

Polly & Grant 21/02/2018

The taxis are out in full force during the weekends, but when our listener and female friend tried to claim a taxi at 2.38am - she was refused not once, but twice by two different taxis.

When women want to be safe enough to get home late at night - are there any reasons why a taxi should refuse a passenger?