Here's how to apply it:
Note: Previously you have linked fontawesome to the template
First open Blogger> Template> Click Edit HTML
Add the code below just before ]]></b:skin> or </style>
/* CSS Breaking News */
#breakingnews {margin:15px 0 0 0;margin-right:15px;height:42px;line-height:29px;overflow:hidden;background:#fff;border:1px solid #e6e6e6;}
#breakingnews .breakhead {position:absolute;background:none repeat scroll 0 0 #363b40;color:#fff;display:block;float:left;font-family:inherit;font-size:16px;font-weight:400;text-transform:uppercase;padding:6.5px 22px;}
#adbreakingnews li a {font-family:inherit;font-weight:400;color:#666;margin-top:10px;transition:all 0.5s ease-in-out;}
#adbreakingnews li a:hover {color:#359bed;}
#adbreakingnews {float:left;margin-left:75px;margin-top:6px;}
#adbreakingnews ul,#adbreakingnews li{list-style:none;margin:0;padding:0}
@media only screen and (max-width:640px){
#breakingnews {margin:20px 0 0 0;margin-right:0;}
#breakingnews .breakhead {padding:6.5px 14px;}
#adbreakingnews {margin-left:50px;}}<script type='text/javascript'>
//<![CDATA[
// Breaking News
$(document).ready(function(){var e="http://stressthinking.blogspot.com",t=20;$.ajax({url:""+e+"/feeds/posts/default?alt=json-in-script&max-results="+t,type:"get",dataType:"jsonp",success:function(e){function t(){$("#adbreakingnews li:first").slideUp(function(){$(this).appendTo($("#adbreakingnews ul")).slideDown()})}var n,r,s="",a=e.feed.entry;if(void 0!==a){s="<ul>";for(var l=0;l<a.length;l++){for(var o=0;o<a[l].link.length;o++)if("alternate"==a[l].link[o].rel){n=a[l].link[o].href;break}r=a[l].title.$t,s+='<li><a href="'+n+'" target="_blank">'+r+"</a></li>"}s+="</ul>",$("#adbreakingnews").html(s),setInterval(function(){t()},5e3)}else $("#adbreakingnews").html("<span>No result!</span>")},error:function(){$("#adbreakingnews").html("<strong>Error Loading Feed!</strong>")}})});
//]]>
</script>Then save the code below anywhere freely, apply it in the body tag (between the opening <body> tag and the closing tag </body>)
<div id='breakingnews'><span class='breakhead'><i class='fa fa-rss'/></span>
<div id='adbreakingnews'>Loading...</div></div><b:if cond='data:blog.pageType == "index"'>
<div id='breakingnews'><span class='breakhead'><i class='fa fa-rss'/></span>
<div id='adbreakingnews'>Loading...</div></div>
</b:if>