“There was some drama in the group chat last night.”
Here drama means interpersonal trouble or conflict, rather than a play or television show. There was some drama. introduces a disagreement in the group chat.
A2-17 / CEFR A2 / EPISODE 17
Discussing a group chat problem
SceneTina reports a group chat argument to Frank.

WORDS & CONTEXT
Here drama means interpersonal trouble or conflict, rather than a play or television show. There was some drama. introduces a disagreement in the group chat.
In a group chat, leave means to exit the group. Emma voluntarily left after the argument.
This is a standard opener that checks the other person's availability before raising the subject: "Is now a good time to talk?" Is this a good time? and Do you have a minute? work the same way. Here Tina first sends only a message asking whether Emma is free, planning to talk about last night after Emma replies. The next line's wait for her reply means wait for Emma's answer; her refers to Emma.
Not even adds emphasis: Emma is no longer in the group at all. Since she has already left, she will not receive a message sent there. Tina's mistaken choice of recipient creates the punch line.