Onlythe head needs protection so it doesn't matter what happens to the shaft. Therefore, your situation involves personal contact with an object in air (potentially her fluids contacted the cut) which is not a risk for hiv. No worries, because you can't get hiv from personal contact except unprotected penetrating vaginal or anal, neither of which you did and you didn't share hollow needles to inject with which is the only other way to acquire hiv. Analysis of large numbers of infected people over the 40 years of hiv history has proven that people don't get hiv in the way you are worried is a risk.
HIV is a fragile virus in air and saliva and is effectively instantly dead in air so the worst that could happen is dead virus rubbed you, and obviously anything which is dead cannot live again so you are good. Blood and cuts would not be relevant in your situation since the hiv has become effectively dead, so you don't have to worry about them to be sure that you are safe.
You run a serious risk for getting coronavirus though in which case you would be spreading it to your loved ones because she may acquired it from any of her many customers. I would avoid csw. and you should consider self isolating for 14 days. It is best to check this forum before you think about seeing another csw. https://www.medhelp.org/forums/Coronavirus/show/2203