I decided to rewatch the series. When I watched this particular show, something jumped out at me.
Why does the android say that Rose is compatible?
They are waiting for Reinette to be 37 to be compatible. Rose is much younger.
But more importantly, the ship is called Madame de Pompadour which is why Reinette is compatible. But, how does Rose fit in with that?
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Probably not related, but the next show in the series is about the Cybermen and they also use the word compatible. (Rose, the Doctor, Mickey and Ricky and not compatible.)