только загранпаспорт, один внутренний нельзя

если в карточке (не на бумаге) указано CY family member, то виза по ЕС не нужна

важно что указано в пермите - CY family member

по ссылке нужно выбирать
A residence card (as a family member of an EU citizen) issued by any EU country other than the one I am a national of

у неё CY family member
CY = EU
значит permit as a family member of an EU citizen

Виза не нужна, так как есть residence permit (family member) of EU country.

https://europa.eu/youreurope/citizens/travel/entry-exit/non-eu-family/index_en.htm#residence-card-yes

Your non-EU family member does not need a visa if they have a residence card.

With this residence card (or permanent residence card) they can travel visa-free to all EU countries (including the country of your nationality) as well as to Iceland, Liechtenstein and Norway, also without being accompanied by you. This applies regardless of which EU country issued their residence card and the country they are visiting.
Exception for Switzerland
Your non-EU family member can also travel visa-free to Switzerland, except if their residence card was issued by Bulgaria, Cyprus, Ireland or Romania.