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To make sure I understand you correctly: You installed the E_Cards module, and after installation, it does not appear in the list of installed modules?
If you are looking to the icon list to your left, then you will not be able to find an E_Cards module icon, as it has no admin functions. Though you should see it in the tabulated list, which fills most of the screen area. This is the table with the upgrade, information, and uninstall buttons.
I am currently working on a new release eCards, which will introduce a few trivial admin functions, and additonal features. Under consideration of my current obligations, I believe this will take me a couple of weeks, until it's done. Watch the forum for a release announcement!
Does the above information assist in any way, or are you still having problems? Please post!