I don’t have access to send messages on my iMessage and I don’t allow to link my email on my iCloud
I don’t have access to add email to my iMessage
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Though I am not at all clear about the issue you are facing I give below an answer from a general user point of view who face iMessage issues.
To activate iMessage and FaceTime using your Phone number
First, check to know whether you have an SMS plan enabled at least for One SMS*** with your carrier. Contact your Carrier (Cellular Service Provider) the agency that issued the SIM to you
If your iPhone is used with a carrier not found in the wireless carrier articles, make sure you can send and receive international SMS. (One SMS*** Only)
If you can't turn on or sign in to iMessage or FaceTime - Apple ...
*** You may not have an SMS plan enabled by your carrier for the SIM/eSIM that you use on your device. Apple Inc does not provide SMS services.