Creating an online record on the veterinary clinic website

We need to create an online record for the veterinary clinic website based on VetManager: this is what we were told by the support team: Good afternoon, the program has an interface with which other programs can do almost all the operations in it.
There are no ready-made plugins for websites, but any programmer can easily implement what you have written. Recording an appointment, unloading a schedule, queuing an electronic queue, obtaining data from medical records or counting the number of patients admitted per day.
Here is the documentation Text hidden Category: REST_API
But it is written for the programmer, you have to think through the functionality that you need, find a person who can implement it is easy.

I mean. We need a functionality that would allow you to make data about the client immediately in the program reception calendar, and automatically unload the schedule of doctors from the veterinary manager to the site.

The site is located in Yukoza, it can use PHP, but with some restrictions, you need to connect.