"It's just really hard to believe."
"I believe you will make a fine wizard some day. Can you have your Atronach step onto that sigil on the floor? That way I will be able to key your magical signature into the wards of the College so you can walk in."
She's never actually been able to control her conjured creatures but she tries just—thinking at it—and it works, and she beams with pride.
Faralda casts another spell into the sigil then says, "Welcome to the College, young lady. I'll let Ruby show you in."
Ruby teaches her how to dispel her Atronach and then leads the way up the bridge and into the main gate of the College. "One of the staff will probably give you a proper tour, but that tower there is the Hall of Attainment, which is where you'll probably sleep, and the main tower over there is the Hall of Elements, where most lessons are held and the staff have their offices. I'll take you to Mirabelle—she's the College's, ah, second in command, so to speak?—and she'll take care of your admissions process."
She can take care of that, sure. Adara is nearly vibrating out of her skin, which Mirabelle finds very endearing, and she dismisses Ruby.
"...so you don't want the money?" Not that Ruby has any but he assumed the sword was being sold.
So now he wants to study and practise. He can't take the Valtheim Towers as he is, he'll need to learn how to swing a sword and shoot a moving target if he wants to stand a chance.