Scottish people...

As Scottish as they come, but don't understand people getting precious and possessive over a name. It is nice you should use it if you want

I don't think anybody would bother much however you might get oh are you scottish but apart from that call her what you like

I would think it a bit silly, yes.

@TeacupDrama, Ruairidh is a nightmare! Scottish names are an ongoing research project/hobby for me and so far I have encountered 54 different spellings, only two of which are correct. People justy don't care about the rules, and it's a bit worrying that Ruaridh has become the most popular spelling now , even though it's wrong.

OP, the Scottish Gaelic word Alba is pronounced something like Ull-uh-puh so I'd imagine most Gaelic speakers wouldn't associate the Latin sound of Alba on an English girl with their word for their country. They'd most likely assume a Latin origin.

while Alba is the Scottish Gaelic word for Scotland it is also the Latin word for White or Bright and in Italian means dawn , it is a recognized girls name; it is also a town in Piedmonte Italy famous for truffles

it is not insulting to Scotland or the gaelic speaking community, some Gaelic speakers get a bit annoyed at people using Gaelic names and not following gaelic rules with regard to vowels like in Gaelic you could have Ruairidh or Ruaraidh but not Ruairadh or Ruari as the vowels around the middle "R" need to match
summarised here
"Gaelic has a system of broad vowels (A, O, U) and slender vowels (E, I). It's a strange feature of Gaelic spelling that a consonant – or bunch of consonants – only ever has broad vowels on both sides, or slender vowels on both sides. So aonach and coire are both valid words, but not aonech or core."
No one would say that someone called Florence should be corrected and told well actually in Italian it is Firenze

I doubt anyone would bother, OP. Alba can come from a few sources and I can't imagine anybody would question her and then denounce you for having culturally appropriated the name.

We live in a global society, and anything goes in my opinion. Go for it!

Call her whatever you love. I know a Florence who has no Italian connections, a Paris who has no French connections and an India who very much isn't Indian. There are also a bajillion kids at my childs school with Irish names who are not Irish.

If you love it who cares.