Either of these two guitars will get you started with no issues. The Thomann site has sound clips from both; they sound very similar to my cloth ears; there's certainly no radical difference. They'll both play pretty much any style in the same manner. The real clincher will be, in my view, your own aesthetic tastes. I'm an Official Old Duffer, so would be more at ease with the more 'traditional' Les Paul shape; I doubt you'd have these same qualms concerning 'pointy' guitars, so it's totally up to you. The Epiphone pack has the slight advantage of being 'Plug'n'Play', in having absolutely everything required; the Ibanez would need an amp of sorts to get the best from her, and strap etc, so the budget climbs slightly (depending on choice of amp, of course...).
The Short Answer is: both are fine, so you choose, and be happy. Good luck on your journey.