You are able to set up a filter for email to be forwarded directly to a label without showing in your inbox by using the following settings:
In the upper right, click Settings
> Filters > Create a new filter.
Or, just click the Create
link at the top of the top of your Mail window:
- Fill out the criteria for your filter and click Next Step.
- Check Skip the Inbox (Archive it) and Apply the label.
- Select the label you would like the email to reside.
- Click Create Filter.