Humbling thought; even at that size, she probably wouldn't be large enough to give the Sun a decent hug.
I think they say the Sun is 100X the size of Earth, but I used to think they meant "the size of 100 Earths". Either way, if Earth is the size of the tip-joint of her index finger, a rough guess calls her 60x the size of Earth.. So maybe the Sun would be the size of an outhouse or small closet to her. Like AbatedDust says, unhuggable.