Come on, OP; it's straightforward. Where will you - or more likely - will the SP in question draw the line? Let me give you a couple of examples; and I write as one who developed EAS for an SP about 10 years ago.
About 5 years before that, my then-Regular SP rang me at home and asked if we could meet for lunch one day the following week because she had some news. The news was that she was retiring because another of her clients had told her he was prepared to leave his wife and set up together with the SP and he didn't want her continuing in the job which had brought them together. So I never saw her - professionally - again; although I attended the "Evening Do" which followed their wedding and keep in touch with both of them at Christmas.
More recently, I've been seeing a Regular for the last 10 years and for probably half that time, I've usually ended my 4-hour once a month visit to her going for a pub-grub meal - we took it in turn to pay for the meal - as she drove me back to her local mainline railway station for my journey home. More recently, we've been to some gigs of comedians we both enjoy.
However, recently, I decided that I couldn't see her "professionally" any more but didn't want to lose her friendship.It was a throwaway remark of hers that, when she puts on her black nylons before an appointment, she adopts a different personality so that her client doesn't get to know the "real her". So-o-o, with some regret, I now have to find myself a new SP but, on the other side of things, she and I now have a different relationship: less "professional"; more personal.
Obviously, I don't know how old you are, OP but you may have to come to terms with the reality of dating an SP. If you really want to have a proper relationship with this woman, you might find you have to ask her to give up a lucrative(?) job. Alternatively, what if she'll only provide you with sex that you've paid her for, like her other clients?