ECDC will consider a request to run or help run any 'relevant service', which it currently delivers (or is delivered by another party on its behalf) alone or in partnership with other relevant authorities or bodies.

The Community Right to Challenge only applies to the provision of services.  It does not provide for delegation of the functions of ECDC.  For example, Section 70(1) of the Town and Country Planning Act 1990 gives powers to local planning authorities to grant or refuse planning permission where a planning application is made to the authority.  The right does not allow for the function of determining planning applications to be provided by a third party, but it would allow for the processing of the application (not the decision) to be carried out by a third party.