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Further to your question I am an immigration solicitor and will be assisting you with your question today
I would suggest that you cancel the application and submit another application otherwise your name may be spelt wrongly on the biometrics card
Kindly note that it is an option however they could still get your name wrong
Furthermore, they could refuse to do your biometrics as the name will be different on the appointment confirmation and Passport
The letter would need to be addressed to the Home Office.
To be honest it should not result in a rejection but rather a wrong name on the biometric card