yes its ok to say you wish to use your madien family name and not your husbands for your own reasons.
it is of no intrest to the British goverment. if they did have an issue it would be agaisnt their discrimation policy.
My Sister kept her family name when she married while at work.
She has now changed it but that was her choice not the goverments or anybody elses decision.
Whatever you do do say you are married as if you didn't that would be a lie and a very serious one on a visa application i would have thought.