"who was extremely embarrassed by the sheer incompetence of her staff"
She should have been embarrassed by the lack of an effective escalation procedure in her operation. At the very minimum, even if the front line staff aren't capable of realising they're out of their depth, a problem that keeps coming back should be automatically escalated so that (a) the immediate problem gets fixed, (b) the front line staff are trained to handle it in future and (c) if there's a systemic problem that gets fixed. You were luck, there was someone higher to deal with it. I suspect that in most cases there isn't anyone behind the front line and that's why they can't escalate.
Biting the hand that feeds IT
