here is the answer to your doubt.
because it seem like the place where is said with a rapport-talk doesnt really work. can i say rapport style? but what is the adj form for rapport?
Rapport -talk is a psychological method. it means, communication that build, maintain, and strengthen relationships. Rapport talk reflects skills of talking, nurturing, emotional expression, empathy, and support.
it is used as a noun, in fact a compound noun. rapport doesn't have an adjective form since it is a quality or characteristic.it is absolutely perfect to use rapport -talk in the sentences you have specified, like:
People should deliver their speeches with a rapport-talk because it is a way of showing respect to your audience by catching their attention.
The language of women is mostly rapport-talk, a language used to establish emotional relationships and making connections in a private setting.
Humble communication is good because humble simply means remained respectful of the other person.
Change it in this line:
Humble communication is good because humble simply means to remain respectful of the other person.