You'd have to check in the country specific AIP to find guidance (if any) on this.
Where I work, issuing instructions immediately after commencing a miss would be considered not the best, and only if somewhat urgent/essential.
It is assumed the crew would perform a standard miss for the approach they're on, unless an alternative was agreed to at some stage prior. We also have procedures that should ensure there won't be a loss of separation with a departure ahead should anyone make a missed approach, so the issuance of instructions at this time would imply something's gone wrong.