If the dental receptionist is an NHS dentist then they are considered an NHS worker.
All NHS workers have been vaccinated at my trust - that's 5000 people (who have been offered it, not all have taken it up). It includes receptionists, people working exclusively from home as well as Drs and nurses working directly with COVID patient.
Logistically, it is easier for us to offer it to all employees than to work out who within the organisation is more eligible and who isn't. Especially as the plan is to vaccinate all adults this year.
As for the private physio, if she does ANY NHS work at all, she will have been able to get some - some private physios also do some consultancy/ locum/ bank NHS work.
Its the same for car agencies - we've offered the vaccine to every employee of every care agency in our authority. This includes the office staff and the ones doing the carers.
In addition to this, we still have left over vaccines at time - so we rope in the electrician, the ring and ride driver, the family member of someone who happened to be having a sit outside the vaccine hub.
I'd much rather this than waste them - they won't last until the next day and have to be disposed of.