As best as I can tell, she should be able to live and work in the UK as a qualifying family member (at least until Brexit shakes out).
Work in the UK as a 'family member of a qualified person'. She can't be a
qualiifed person herself as she is not an EEA citizen. Her permission to be in the UK legally relies soley on her EEA citizen sponsor and while the UK is still in the EU.
Under the EU Directive, every EEA citizen who lives in another EEA country past their initail 3 months allowed as a visitor, must be a
"qualified person" to have a
"right to reside" in that EEA country. As long as they remain a
qualified person at all times, then they and their direct family members have an automatic
right to reside in that EEA country under EU laws/EU court rulings.
To be a
"student qualified person," -
- the EEA citizen and all their Family Members must each have a CSI (Comprehensive Sickness Insurance) and it must cover any exisiting conditions too.
- They must not take benefits.
Even if your daughter works and pays taxes, she must still buy a CSI because her EEA sponsor must have a CSI. She can only have what her EEA citizen sponsor can have.
Have a read
https://www.gov.uk/government/publications/european-economic-area-nationals-qualified-personsCompare this to if he came to the UK as a student under present UK immigration rules, on a Tier 4 visa -
-his wife could work
- they both would be covered for free NHS treatment, for any exixiting conditions too, for £150 a year each via the Immigration Health Surcharge.
- when his course was over, an employer would not have to carry out a Resident Labour Market Test for a work visa for him.