First of all the woman being interviewed insists that she is not a prostitute (or prostituted woman as many survivors prefer to be known) but an escort. When asked what the difference is she explains that (1) she worked indoors on the streets and that (2) she didn't wear high boots. Later she describes being physically forced to have unprotected sex against her will. The interviewer (less than tactfully) suggests "that's rape" and she responds saying she didn't see it that way because she was paid.
Now evidently what is happening is that she is in deep deep denial of what she goes through. But this is totally unsurprising - people in unbearable situations develop multiple personalities issues to allow them to "be someone else" during the awful bits. We know that many rape victims convince themselves that what they have experienced isn't rape as a coping mechanism. Should we be surprised that victims of repeated systematic rape and other abuses use euphemistic language to help them survive their experiences?
And bear in mind the stigma attached to words like "prostitute" and "rape victim". While men who pay for sex and rapists are often hailed as hyper-masculine. My boxing gym still has Mike Tyson's face on the wall and Wayne Rooney still plays top flight football and appears with his glamourous "WAG" wife in magazines like "Hello".
We have to distinguish however between being respectful to those who have had traumatic experiences and wish to chose their own language to describe them and those who are in fact defending the "right" of abusers to carry on abusing.