I guess it depends who she signed with iTunes through? If it was herself then it seems like it would be covered by the "provided by COMPANY" clause, if not, then it seems like it would be readily covered by the "any other distributor" clause.
It says "a general release date, provided by COMPANY". I don't know what the definition of "general release date" is, but I would assume that's when it's released to the general public. I don't know if releasing to her Bandcamp fans counts or not.
Edit: Another alternative is, does she offer it for sale when releasing just on Bandcamp? If that's available for free only, and doesn't have a "Buy now" option added until it's released on iTunes, then it seems like that would satisfy the "any other distributor is permitted to begin selling, or making commercially available, COMPANY Content in any format" bit (in this case assuming that her site counts as "any other distributor").
Ultimately, speculation about legal contracts by laypeople like us (well, me, but I assume you're not a lawyer either) is probably a pointless exercise.