Qualifications are important, and also a little mystifying to the layman.
Here is an explanation (with further links) of the various professional organizations to which Kate belongs.
Someone who cures disease or aids recovery or improves bodily function and movement by physical means (massage, manipulation, heat treatment) rather than by drugs or medicines.
(This link explains all this in more detail.)
As with accountants, architects and other professionals, to gain Chartered status one has to meet and maintain high standards of training and professional expertise.
Another regulating body that ensures high standards are maintained in all aspects of providing health services.
Yet another body that ensures high standards are maintained and available to the public.