You can change the content of the email sent to the user in admin/config/people/accounts.
The default content is the following one:
[user:name],
A request to reset the password for your account has been made at [site:name].
You may now log in by clicking this link or copying and pasting it to your browser:
[user:one-time-login-url]
This link can only be used once to log in and will lead you to a page where you can set your password. It expires after one day and nothing will happen if it's not used.
-- [site:name] team
If you are going to change the URL to which the user is directed, you need to write all the code to handle the password recovery request.
To have an idea of what Drupal does to handle a request of password reset, see user_pass_reset().