**This is her fight**

First, before anything else. I will back up @HLGEM's stance. This is **her** battle, and an important one for future interviews where she's asked *"What was a point of conflict in jobs past and how did you handle it?"*

Your job here is to be supportive of whatever choice she makes and act as her advisor to help steer her towards good choices.

**What are "Consequences"?**

Before we can determine exactly what we're talking for we need to know what the consequences. I would simply ask (preferably by email so the exchange can be documented) *"Exactly what would the consequences be?"*

Know in advance the moment she asks this she could be fired. (These two come across as the sort of people who retain employees through preventing their success, basically scumbag managers) That said, she either submits to their demand or discovers exactly what "or else" entails. (which may or may not justify legal action, but you'll want to talk to an attorney for that) or gives in.

**Make a choice**

At this point your daughter has four routes she needs to choose from, each has their pros and cons. She has to justify her choices with herself and only herself (you get to sit on the bench this round champ)

 - Pull down her resume per request and stop seeking alternative employment. (this is exactly what the managers want, she'll probably enjoy a truly miserable career under these people until someone quits, is fired, or she's lucky enough to get snagged away by a better opportunity)
 - Appear to comply by hiding her resume, making it anonymous, etc. Continue searching for a better opportunity in the mean time. This will probably make the managers happy for now, but there is a good chance she'll either find a better job and leave or get caught and fired.
 - Leave the resume up and almost certainly be fired. At this point she will be able to dedicate more time to actively seeking a better job.
 - Leave the resume up and resign. At this point she will be able to dedicate more time to actively seeking a better job.

If it were me I'd just hide the resume and keep looking, but there is merit in quitting or being fired and sticking to what you believe is in you best interest.

**Never look back**

Whatever she chooses support her. Dealing with these sort of jerkoffs is never fun and she should never consider going back to work for them if/when she leaves. That said, when she makes a decision and acts on it, you're all in, stand by your decision and learn from it, but never second guess it. (We make the best decisions we can make at the time we make them based on what we know then)