And I suppose you know who Magnus’ father is?” Luke said.
“I paid a lot of money once to find it out,” Raphael said.

I have the benefit of experience which tells me that sulking solves nothing

There might simply be nothing going on that might activate it. Perhaps there isn't anything here that Alec is afraid of."
Magnus glanced at Alec and raised his eyebrows. "Boo."
Luke and Magnus, pg. 285

It's your gift, to see the beauty and the horror in ordinary things. It doesn't make you crazy, just different.

Raphael calls me every month,” said Ragnor. “Raphael knows that it is important to preserve good relations and maintain regular communication between the different Downworlder factions. I might add, Raphael always remembers important occasions in my life.”
“I forgot your birthday one time sixty years ago!” said Magnus. “You need to let that go.”
“It was fifty-eight years ago, for the record. And Raphael knows we need to maintain a united front against the Nephilim and not, for instance, sneak around with their underage sons,” Ragnor continued.
“Alec is eighteen!”
“Whatever,” said Ragnor. “Raphael would never date a Shadowhunter.”
“Of course, why would he, when you two are in loooove?” Magnus asked. “‘Oooh, Raphael is
always so professional.’ ‘Oooh, Raphael brought up the most interesting points in that meeting you forgot to attend.’ ‘Oooh, Raphael and I are planning a June wedding.’ Besides, Raphael would never date a Shadowhunter because Raphael has a policy of never doing anything that is awesome.

I don't think she doesn't believe she can die. I think, just like you always did, she believes there are things worth dying for.