How can I make my Blog category unindexed in Google?

Add the <meta name="robots" content="noindex"> meta tag within your <head>.

Then look into is_category() to add it specifically to your category pages.

Or alternatively, you can check if $cat_id is available: 

$cat_id = get_query_var('cat');

If it is available, then it is a category page.

EDIT Just add it in an IF statement:

if (is_category()){ 
 <meta name="robots" content="noindex">
}

EDIT 2 You can add this code to your category.php file which you can find within your theme’s folder. Add it within the <head> tag.

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