Is it permissible for the preacher to exclude himself and say "your Prophet" instead of "our Prophet" when mentioning the Prophet, peace and blessings be upon him? And is this a specification of the word rather than a generalization?

This rhetorical style aims to encourage listeners to adopt the teachings of the Prophet, peace and blessings be upon him, as if the speaker is saying: "This Prophet, of whom you are proud, said such-and-such." The speaker does not intend to exclude himself from affiliation with the Prophet, peace and blessings be upon him. Many of the Salaf, such as Omar and Anas, used this style, for example, Omar's saying: "Indeed, your Prophet, peace and blessings be upon him, said: 'Indeed, Allah raises some people by this Book and lowers others by it.'" Therefore, there is no harm in this statement if it is intended to encourage and inspire.