Q: My Author Page redirect to HomePage or shop page when i active Woo Commerce Plugin?

Ans: Please Make sure your New User role set to Contributor Not Customer.

1- Come to WordPress Dashboard --> Settings --> General --> New User Default Role --> Select Contributor. Save Settings.

If some user's already signup with Customer role. Then.

Come to WordPress Dashboard --> All User --> Edit user one by one any change user role to Contributor .

That's All

Thanks