British passport is not possible just yet.
Why would there be a marker against her BRP ??? she's done nothing wrong and she's legally a British Citizen. There's nothing to be concerned about on that aspect at all.
Her Filipino passport is still valid. Means she can still use it.
The word is "Technically" she's no longer eligible. But who will know if she doesn't inform the Philippine Embassy.
How on earth would the Philippine Embassy have any information or idea that she is no longer a Filipino Citizen ? Who would tell them ? How could they possibly know.
That's just not at all true.
That's a personal choice.
You already know that your wife needs to book an appointment at the Embassy for her citizenship retention Oath Taking.
The Embassy will cancel her old passport immediately. She'll need to apply for a new passport in her married name. Takes between 12-18 weeks.
She'll need to do that in order to secure a British Passport.