Did she mention this trip during her interview? The chance of a CP getting two weeks off approved during their program is slim.
The way time off works at WDW is that full time cast members put in a "vacation bid" for the next year towards the end of the current year (we're doing this for 2019 right now). Their requests are approved in seniority order. After that's done, then requests open up to first-come-first-served status for everyone. This would likely be done before her program actually begins and she gets access to the Hub in order to put in requests, so part-timers and current CPs who are extending into the spring term would have access to time off before she would.
Additionally, CPs are restricted from giving shifts away via the Hub, although some managers will approve it if the CP has a good reason. Whether your daughter's leadership team would do it for a family vacation or not isn't something anyone can say. It's important to note she would still owe rent for her housing for those two weeks where she wouldn't be getting much or any pay.
You can try to Google for the phone number for WDW Casting - I know there is one somewhere, although I'm not certain if there's a College Program-specific number.