Shaking hands with an elderly woman

Q: Is it permissible to shake hands with an elderly woman?
A: No. It does not matter whether she is elderly or young. Ha-Rav Ovadiah Yosef once received the Israel Prize and it was presented by the Prime Minister, Mrs. Golda Meir. She put out her hand but he did not shake it. People said that it was not polite. He responded: The Torah is more important than politeness. And Ha-Rav Mordechai Eliyahu once met with the Queen of England and she put out her hand. There were cameras from all around the world but he stood still like a soldier and he did not shake it. That evening Rav Eliyahu received a letter from the person responsible for royal protocol and they apologized. They checked the books of protocol of the British Kingship and they found that the Queen of England was not to put out her hand to a Jewish Rabbi (A Jewish Rabbi!). As a result, if you do not shake a woman's hand, you have the authority of Halachah, as well as Rav Yosef, as well as Rav Eliyahu and the Queen of England, who is extremely polite! Therefore, one has to plan: carry a bag in each hand. Or I once saw someone said: I am saving my hand for my wife. Or say: My Rabbi said it is forbidden. He is strict. What can I do?