What are the implications that come with being anointed, specifically, as the Messiah?

There is only one Messiah, Jesus Christ the God-man (John 1-3, 14). For Jesus, his messianic mission entailed his dying for our sins and thereby triumphing over sin and death, as evidenced by his resurrection from the dead and ascension into heaven (see 1 Cor. 15:12-23).