One of the parties in my index continue to receive a "rejection" e-mail saying that their link has been rejected due to unsuitable content or a duplicate URL. How can I dis-able this feature before annoy to many people?

Is the link actually being rejected or are you saing that this message keeps going out on its own, over and over?

Email should not be sent from Links until you tell it to. Maybe this message is stuck in your sendmail queue? If so, your ISP would probably need to delete it.

However, to disable the rejection message (to anyone) permanently, just remove the text from the email-del.txt file located in the template directory. If that file is empty, Links will not attempt to send the message.

All of this is assuming you are using Links v2 (you didn't say).