What technique is being used when you consider the feelings and thoughts of the audience and the information needed?

The technique is called Psychological Audience Analysis.

Explanation:

Psychological Audience Analysis is used to know what the audience's may be feeling and thinking before and during your presentation/communication.

I also involves knowing what your audience know or do not know, so that you might elaborate some things in detail, shortly, or no explanation at all.

The information needed during this technique could be knowing their social, religious, ethnic, and academic background. Knowing their primary purpose of listening to you would also be helpful. You might also need to know if someone from the audience knows about that topic more than you. In such case, you would need to prepare you topic well, and acknowledge his/her knowledge during the communication if such situation arises.

can you explain it better

there are no options provided but you can choose among the following gender-neutral pronouns: zir, hir, eir, vis, tem, eir.

in the normal course of maintaining a pronoun-antecedent agreement, we could have used the words his or her but since we are also required to use gender-neutral language, we need to replace it with its equivalent gender-neutral pronoun.