Can a British Citizen enter the UK on a USA passport?

My passport is tied up in the USA with the application of my daughter's British passport. We both have USA passports. We are traveling to the UK form the USA soon and I don't think our British passports will be here in time. Can we enter the UK on our USA passports?? I've heard it's illegal to... show more My passport is tied up in the USA with the application of my daughter's British passport. We both have USA passports. We are traveling to the UK form the USA soon and I don't think our British passports will be here in time. Can we enter the UK on our USA passports?? I've heard it's illegal to enter a country of which you are a citizen using another passport??
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