A ring main is a circle of cable that starts at the fuse box (or consumer unit, CU), goes around in turn to each of your 13A sockets and then returns back to the CU. There are often 2 (or more) ring mains in a house - typically one running around the upstairs, and another around the downstairs. Each ring main will be controlled by a fuse (or a breaker if the CU is more modern). A breaker (MCB) is a resettable device instead of a fuse that cuts the current to that circuit under conditions of overload. Modern CUs contain breakers, not fuses, but they perform the same function.
If any of your electricians are suggesting that they wire up the new shower from the existing ring main, they are not worth pursuing. It will overload the ring main and trip the fuse or breaker. But I do not now believe that any of them are suggesting that - it is probably your use of terminology ('ring main') in your original question.
The shower must be wired directly from a CU - with its own breaker.
Terence was asking you whether your existing CU had been upgraded from fuses to breakers. Breakers are safer because they cut the power quicker in the event of overload (excess current being drawn through the system that might overload a cable and cause a fire). If your CU has never been upgraded since the 1970s, it is worth considering now whilst you have an electrician in. This is because the alternative is to fit a new style CU up near the shower room, with its own modern breaker in it. If you are going to have to do this anyway, you might just as well modify the existing CU now to contain breakers.
None of this changes the fact that a new cable of a large size (10 mm square cross-sectional area of the copper wire inside the cable) has to be run between the existing CU and the new bathroom area and hence up 2 flights of stairs. It needs to be a large size because the required current for a power/electric shower is so great and the distance is long. The elect