THIS IS A WOMAN
I love this scene so much.
Because until this scene, Martha has very much pushed her family away and kept quiet to them about what she was actually doing to travel with the Doctor. She has ignored attempts of her mother to talk to her about it and actively lied to her family. The Doctor never outright told her to do so, but it was still clear to her that she shouldn’t.
And now it’s turning back on her family, it’s actively endangering them and Martha knows and she is furious. So when the Doctor tells her to keep quiet, when he shows that he is willing to sacrifice her family’s safety for their safety, Martha very much tells him to fuck off. She’s putting her family’s safety first, she’s actively choosing them over the Doctor and I love it.