A company can be a valid trading structure, but it does not automatically make every engagement tax-efficient, outside off-payroll rules, pensionable or commercially sensible. Before incorporating, compare the additional accounts, payroll, Companies House, corporation-tax and banking administration with the expected benefit. An accountant who understands healthcare contractors can model the position using your actual income, other NHS work, pension choices and drawings.
For each booking, establish who is contracting with the practice: you personally or your company. The engagement letter, booking confirmation, invoice identity and bank receipt should tell a consistent story. If an agency, practice or public-sector body makes a status determination, keep it with the contract rather than trying to infer the answer later from the invoice.