Would anybody understand how to obtain the jQuery api choosing Wordpress? I understand that you could add an action within the functions template but this specific theme template is not letting me add it.

The simplest method to add jQuery is by using the Google Ajax libs API

<script src="http://www.google.com/jsapi"></script>
<script>
  google.load("jquery", "1");
</script>

Add wrinkles within the <head> portion of your primary template page, and you ought to have the ability to use jQuery immediately.

(In my opinion this could need you to have FTP use of your site or at best accessibility theme-editor such that you could edit the primary PHP theme pages themselves)

What type of errors are you currently seeing? Are you currently also calling <?php wp_head(); ?> within the header? Are you currently also connecting < wp_enqueue_script('jquery'); ?> , that also loads jquery?