Here "Her say" means "what she had/wanted to say" (see Merriam-Webster definition 1 for as a noun), which has been "said" (used as past tense of "say"), as she has just spoken it in her last line. An expanded form would thus be "(Having said what she wanted to already)".
Since she's finished saying what she ...
To “pull the wires” means
To manipulate or influence (a person) as if pulling the wires of a puppet; to control (a situation, organization, etc.) from behind the scenes.
Oxford English Dictionary.
A couple of citations for this sense:
I tell you Jerry isn’t given to pulling wires to get what he likes.
Beth B. Gilchrist (1917). ‘Cinderella’s Granddaughter’....