Please use the terms "Issuer" and "Creditor" to avoid misunderstanding.
The issuer is Bitcoin owner who can issue a valid Bitcoin transaction and inside the transaction promise an output to creditor.
on the other hand the creditor is a person who accept a transaction as a kind of debt-document, and do not send it to Bitcoin network. like you have a valid check from me but you do not go to bank to cash it. instead you spend my check directly and give it to the other person.