B causes IP(?)

[jmkupka]

High level ball, Gold qualifier.

F1 taking signal, batter says "time" a moment before separation of hands.
I don't allow the timeout, and batter does not deviate from her "ready" position at bat.
F1 stops her action immediately after separating her hands.

All this happens within a second, of course.

In my opinion, the batter's word caused F1's hesitation.
I don't call IP.

OC goes ballistic, demanding an IP. "I train my girls to step out ONLY if time is granted. If it's not, and they let a strike go down the middle, they have to deal with me."

If batter never uttered a word, and F1 did what she did, of course I'd have IP.

So, does my opinion dictate the result here (at this level)?