Hello gigibagigi72 and welcome to WebmasterWorld!
For Google Webmaster Tools (WMT) to show the backlinks to your site, it must crawl the page on the site where this backlink is, and then it has to update WMT. Therefore, it is not your page Google has to fetch, it is the page on which the link is that Google needs to fetch - and unfortunately you cannot do the Fetch and Submit to index" for the site that is not yours.
It is also worth remembering that WMT is showing only "sample" of your inbound links, therefore some backlinks which Google knows about may not be shown. On top of this, WMT is always a bit late with updating the data and sometimes a bit buggy.
If you want to check whether Google saw these links, then check the Google cache of this directory page and see if your link is there. If the link is not on the cached copy, Google may not have recrawled the directory page and might not have seen your link had been added there.
Also check whether links are nofollow - even if the links are on the page and the page is cached, they may not count if the link has "nofollow" attribute or if the directory page has "nofollow" robots directive.
I hope you are careful in chosing the anchor text when you are adding your site to various directories - you do not want to risk being hit with unnatural links penalty.