I think you have covered most points. But I would add why she wants to study Latin. I did Latin at A Level. The attraction is that it's a language which is so different from other, modern, languages (and yes, I include Italian in that) and presents some interesting challenges which appeal, it has great literature, particularly poetry, which means more when read in the original, though you may not be perfect in doing so, it does come with practice. (She may say "so I have learned or been told" about that).
If anyone thinks that Latin is like modern languages, you have to ask which of the languages has no regard to word order; Latin doesn't care what order the words in a sentence are in, except that adjectives ought to be next to their noun, to avoid confusion between two nouns which they could relate to. And which can you instantly translate by knowing Latin?