My EQ score when I was approved for a Double Cash was only 9 points higher than what hers is now, but I should say, I think I was pretty lucky. Most Citi approvals seem to happen with an EQ of at least 680, and even then it is borderline.
I actually think she has a decent chance with Discover, a notorious EQ puller, but keep in mind they sometimes double pull with TU (which would be bad news for her if Discover did). Even if Discover single pulls EQ, there is a chance that Discover will only offer the joint card, so be prepared for that. Hopefully if Discover doesn't want to extend her an unsecured card, they will at least let her go for the secured card, generally a superior option to the joint card.