Aaron D. Campbell

A widget that properly handles twitter feeds, including parsing @username, #hashtag, and URLs into links. It supports displaying profiles images, and even lets you control whether to display the time and date of a tweet or how log ago it happened (about 5 hours ago, etc).
<a href="http://aarondcampbell.com/wordpress-plugin/twitter-widget-pro/" rel="nofollow ugc">Twitter Widget Pro</a>

Twitter Widget Pro

A widget that properly handles twitter feeds, including parsing @username, #hashtags, and URLs into links.

Omar Kasem

Ulitmate twitter feed is the best plugin for displaying twitter feeds by username, you can display them with already designed template by shortcode, or you can display them in your ready desgined template with the WP REST API.
Some of the awesome features include: 
* Create unlimted feeds with shortcodes 
* Create unlimted feeds with WP REST API URLS 
* Already Desgined Template for displaying your feeds 
* You can display your feeds in your already designed template 
* You can display your feeds with widgets

Ultimate Twitter Feed

Get twitter feeds by twitter username and display it with shortcodes.

Twitter Widget Pro vs Ultimate Twitter Feed