"what in the bloody Hell is he doing here"
Lucifer said after sensing Satanael in the Shinto Realm and was curious but that's not why he was here, he is here because of someone else, he is here for Amaterasu.
"We should get going love, something is about to come up and I don't want to miss it" said Lucifer while offering his hands to Amaterasu who also took his hands.
But before he could leave, Izanagi held him back "hey young man, you can't just walk in here and take my daughter without acknowledging my presence" he said before turning to Amaterasu "is this the man that you say is won your heart?" He asked his daughter.