In your shoes I’d be very interested in Vicky’s beliefs, but then it is an area of personal interest. Ask her which Grimoire or path she follows.
I would be far more concerned if your daughter was going to be spending time with masogynistic frock wearing paedophiles like the christian churches are full of.
“Satan” comes from Hebrew and means “adversary” or “opposition” to the jewish god. The duality of judaism (and subsequently christianity) as invented by Moses was largely influenced by Persian Zoroastrainism.
One cannot believe in the existence of Satan in the classic or “common” sense without believing in the existence of the jewish god that the new jewish offshoot religion (christianity) and muslims also worship. However some gnostic christians believe that the material world was created by Satan and not by god.
It’s worth noting that in the pre-christian traditions Satan was “ejected from heaven” on the sixth day for refusing to bow down before Adam. Satan was an angel (a cherub to be precise), as was Beelzebub (real name Baal Zebub or “Exalted Lord”).
Lucifer was the first and most beautiful angel, a Seraphim with the title “crown of God”, it is said his original angelic name was Hakathriel (many angel names end in El to denote “of god”, for example Satan’s angelic name was Satanael). Lucifer is merely the romanized version of the Greek Phosphorus, as he is the Morning Star, bringer of light/enlightenment.
El was of course the name of the Cananite God that the jews worshipped before Moses created his new religion. The jewish people were very ambivalent with their deity worship for a long time, as can be seen from the name IsRaEl - coming as it does from Isis, Ra and El. Mother, son, father.
Do not mix up Satan, Lucifer and Beelzebub, for example Jesus put Beelzebub in charge of Hell when he rescued Adam from Hell after fighting Satan. (Gospel of Nicodemus / Acts of Pilate).
Lucifer fell on the 2nd day as apparently he got too big for his boots (see the works of Origen of Alexandria and The Book of Enoch).
The Livre des Espiritz / The Book of Spirits has a trinity of arch-demons; Satan, Lucifer and Bezlebuth (Beelzebub) at it’s head. Many other, but not all, grimoires have the same trinity at the top.
The other main school of thought revolves around a trinity of Astaroth, Lucifer and Beelzebub. Astaroth being a medieval depiction of Astatre and Asherah (Queen of Heaven, wife of the Canaanite God, El). Beelzebub being Baal, son (or sometimes consort) of Asherah. Lucifer and Beelzebub are often depicted as two sides of a single coin, Lucifer is the Morning Star, and Beelzebub is the Evening Star, both are Venus.
Sometimes (for example in Thelema) Lucifer is equated with the Egyptian Horus.
Getting back to Satan, He too has origins in Egypt with Set.