Use the following function to list your categories but exclude category 1:
<?php wp_list_categories('exclude=1'); ?>
Of course, change the 1 to the ID of the category you want to exclude.
To exclude multiple categories, use this:
<?php wp_list_categories('exclude=1, 2'); ?>
Change 1 and 2 to the categories you want excluded. You can exclude more of them by adding their IDs separated by commas.
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