How can I disable watcher module for some specific pages?

Watcher works with nodes and doesn't care where you display those nodes. If your theme prints out the page's path as a class in the body tag, you can use CSS to hide the link on specific paths.

I don't think bluemarine theme adds meaningful classes to the body tag. You have to use a Zen based theme or edit template.php for this to work. With Zen you add this CSS to your theme:

body.front .watcher_node {
  display: none;
}