Kevin97 first make sure all your documents have the same name prefix -name-surname, its best to keep the ones from your birth certificate, if your birth name is for example : john mudaliar, then make sure all your other current documents say the same : john mudaliar, any spelling mistakes and name changes would be harder to correct later so
also
Kevin97 only mentioned my new name and surname is not mentioned.
my letter from shrink does contain both my dead-name and new-name
somewhere along in this format "john(kevin) mudaliar is fit to give consent for all procedures involved in Gender Affirmation namely: Facial Feminisation Procedures Orchiectomy"
you should ask your shrink to make a correction to include your dead-name and new name.