SPSERVICES

Hi,
you did not mention your SharePoint version but using SiteAsset library I assume SharePoint 2010.
Attached a modified version of your script.
I uploaded the complete script as TEXT file to the site asset library and added a content editor web part on a new page, configuring this text file as link source.
This one works on my machine ;-)

Main change:
1. Instead of document ready use the built in container / array _spBodyOnLoadFunctionNames (which will be executed internally on document ready function by function)
2. Instead of $ use jQuery to avoid conflicts
Reference:
http://www.stephanrocks.com/2011/10/05/_spbodyonloadfunctionnames-in-sharepoint-vs-jquerys-document-ready/

Important:
You would have to rename the list back - on my system the list is named EESpeakers.
And adjust the script src links.

HTH
Rainer
EE-SPService.txt

I made the changes but it still does not work for me.  I don't get any errors either and my alerts go off.

Could it be because I'm in Office 365 SharePoint Online?

I'm definiteley doing something wrong.  I added it to another server and same thing.

Here's the code I'm using....

<script type="text/javascript" src="../SiteAssets/jquery.js"></script>
<script type="text/javascript" src="../SiteAssets/jquery.SPServices.min.js"></script>

<script type="text/javascript">
//this is where the script starts after the page is loaded
_spBodyOnLoadFunctionNames.push("GetSpeakers");

function GetSpeakers()
{
	alert("in getspeaker function");
        //The Web Service method we are calling, to read list items we use 'GetListItems'
        var method = "GetListItems";
        
        //The display name of the list we are reading data from
        var list = "Speakers";

        var fieldsToRead =     "<ViewFields>" +
                                "<FieldRef Name='Title' />" +
                                "<FieldRef Name='Blog' />" +
                                "<FieldRef Name='Picture' />" +
                            "</ViewFields>";
                            
        var query = "<Query>" +
                        "<Where>" +
                            "<Neq>" +
                                "<FieldRef Name='ID'/><Value Type='Number'>0</Value>" + 
                            "</Neq>" +
                        "</Where>" +
                        "<OrderBy>" + 
                            "<FieldRef Name='Title'/>" +
                        "</OrderBy>" +
                    "</Query>";

        //Here is our SPServices Call where we pass in the variables that we set above
        jQuery().SPServices({
                operation: method,
                async: false,  //if you set this to true, you may get faster performance, but your order may not be accurate.
                listName: list,
                CAMLViewFields: fieldsToRead,
                  CAMLQuery: query,
                      //this basically means "do the following code when the call is complete"
                    completefunc: function (xData, Status) { 
                        //this code iterates through every row of data returned from the web service call
                        $(xData.responseXML).SPFilterNode("z:row").each(function() { 
                            //here is where we are reading the field values and putting them in JavaScript variables
                            //notice that when we read a field value there is an "ows_" in front of the internal field name.
                            //this is a SharePoint Web Service quirk that you need to keep in mind. 
                            //so to read a field it is ALWAYS $(this).attr("ows_<internal field name>");
                            
                            //get the title field (Speaker's Name)
                            var name = ($(this).attr("ows_Title"));
                            
                            //get the blog url, SharePoint stores a url in the form of <url><comma><description>
                            //We only want the <url>. To accomplish this we use the javascript "split" function
                            //which will turn <url><comma><description> into an array where the first element [0]
                            //is the url.   Catch all that? if you didn't this is another reason you should be
                            //a developer if you are writing JavaScript and jQuery :)
                            var blog = ($(this).attr("ows_Blog")).split(",")[0];
                            
                            //same thing as the blog, a picture is stored as <url><comma><alt text>
                            var pictureUrl = ($(this).attr("ows_Picture")).split(",")[0];
                            
                            //call a function to add the data from the row to a table on the screen
                            AddRowToTable(name,blog,pictureUrl);
                            
                        });                
                    }
        });

}


function AddRowToTable(name,blog,pictureUrl)
{
    jQuery("#speakerTable").append("<tr align='middle'>" + 
                                "<td><img src='" + pictureUrl + "'><br><a href='" + blog + "'>" + name + "</a></td>" +
                               "</tr>");
                                
}

</script>

<!-- table where our speaker rows will go -->
<table id="speakerTable"></table>

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I get the error,

'xData' is undefined.