Your interpretation is flawed. Christianity does not slander Eve. Try googling it.Christian dogma [Timothy 2:11-15] slanders Eve,
accusing her as "sinner" guilty for "the fall of man".
The distinction between this, and Eve not being expressely banished,
unlike Adam and the Serpent, along with God's praise of the day;
is between slandering Eve and so defying God's own judgement,
or learning from the mother of al living creatures.
What does slandering Eve achieve?