"I guess not."
She gives herself wisdom and cunning. She tries to hold it all in her head. The kinds of magic, that's easy, and the lists of desired spells and specializations and areas of magical expertise and languages and historical and situation-specific context across two worlds. The knowledge of the four of them and the things they're interested in and good at and bad at it - he'll need it, if he's going to lead them - the random bonuses like singing - the passion for magic research, since there are decades of it ahead -
- the secret bits, combat skill and ruthlessness and dangerousness, someone who will win this fight even if it is very very hard in ways she hasn't thought of specifically -
- a good understanding of sex and why humans have it and want it, and a sense of what circumstances he'd enjoy it in, but not accompanied by any urge to bring those circumstances about unless it were a good idea, and no trouble if circumstances where it's a good idea turn out never to obtain -
And the general core of the thing, a thing that she feels like should hold together as a personality, a thing she could imagine being, if she'd started a little differently - though she doesn't want exactly herself, because the ideal person is a person who'd have figured out not to make clerics of Asmodeus sooner - someone who wants to win, and become a god or make one or if they can't pull it off figure out which existing one to surrender this extraordinary world to. Someone who can take the rest of them as they are, and the rest of everybody as they are - and yet, if she pulls it off, sort of unlike them. Taking everyone as they are because that's a winning strategy. Not having an ego because that's a winning strategy. Not being inclined to believe convenient things. Everything in their long list of leadership desiderata, spelled out from that simple core - that winning is going to require being able to work with lots of people, to be their friends, to inspire their loyalty - and winning is very very important.
And - she's less sure of how this part fits together so she's deprioritizing it - ideally he wouldn't want to betray his would-be allies, if there was a way to instead make them useful, ideally he would try very hard at routes where he can work with them, even if they're not perfect for it, even though winning is so important, because it's - easier, for people made the way she is herself made, to fight for something that isn't overwhelmingly likely to destroy you as a loose end -
With the flexibility and introspection to fix this design itself, if she got it wrong, and to pass it along near-perfectly, if she got it right but they turn out to be unable to do this within a human lifetime -
- he can pick his own name. It's traditional. And he should - start out knowing what she was aiming for, in all its details, including the secret bits.