Is one who refrains from praying for death during Hajj or at the Kaaba, out of fear of death, committing a sin, and does Allah become angry due to not praying for that?

It is not a religious obligation to pray for death during Hajj or at the Kaaba, and refraining from it does not incur sin or God's wrath. It is sufficient to ask God for a good ending. While fearing death and remembering it is religiously commendable for performing good deeds, it should not become an obsession that causes whispers [of doubt/temptation].