A couple ways. Ephara herself is beefy as hell, and the deck is full of ways to sneak her through enemy lines. But at its core the deck is Pillowfort; anybody who wants to hurt me has to spend a bunch of mana, get past Ephara, or get around several different enchantment combos first, meaning people tend to try and deal with easier targets first and only hit me when it's opportune. Meanwhile I keep stacking pillows until suddenly they're suffocating as a combo comes together that locks my opponents out of affecting me. Web of Inertia + Rest In Peace, Moat + Archetype of Imagination, Opalescence/Starfield of Nyx + Parallax Wave, Solemnity + Force Bubble/Delaying Shield/Decree of Silence...all usually behind Greater Auramancy and usually a Copy Enchantment of it.
Make no mistake, the deck utterly folds to Merciless Eviction, and has trouble against Golgari Recursion if they get their Caustic Caterpillar, but otherwise it can bounce back from most wipes surprisingly quickly while banking on the value it generated in the early/mid game.
Best experience I had with it was an early Telepathy showing that a Phenax player had a Mind Grind in hand, while I had a Replenish. So I spent the entire game harassing and exiling all his stuff till he popped it for like X=8, passed the turn, and I filled the field with my enchantments. Getting everyone to scoop in disgust is Peak Azorius