I think this answers your question but the answer is not quite explicit. From p63 of Core, last paragraph above the line:
The Gift allows characters to learn Supernatural Abilities in play (see page 166). However, The Gift is associated with the Realm of Magic, and thus only allows characters to learn Supernatural Abilities associated with that realm.
I read this as meaning the teacher’s realm alignment must be Magic for the gift and, by extension, Divine for True Faith, Fairy for Sympathies, and Infernal for a point of infernal warping.