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With ‘WP Twitter profile’ you can add a mini version of your twitter profile to your WordPress site as a widget.
What can this widget show:
<ul>
<li>Your profile picture and banner image, layed out similar to the Twitter sidebar</li>
<li>Your real name as it is held by Twitter and your @username</li>
<li>A follow link to your profile</li>
<li>The number of tweets, subscribers and subscribed for your profile</li>
<li>Your recent tweets (including rich content with Twitter links for hashtags and @username, URLs and img tags for images uploaded to Twitter)</li>
<li>CSS styling depending on the colour scheme used on your Twitter profile</li>
</ul>
Note: This plugin requires the use of cURL to be installed and active on the web server
<h3>Arbitrary section</h3>

Twitter profile widget

With 'WP Twitter profile' you can add a mini version of your twitter profile to your Wordpress site as a widget.

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Important notice: Twitter shut down their v1 API and use now the v1.1, to update your mini twitter feed you need to go on https://twitter.com/settings/widgets/new create a new widget and get your Twitter widget ID. You can update the id on the shortcode or widget. ([minitwitter id=”TWITTER_WIDGET_ID” username=”YOUR_USERNAME”] or in the field “id” in the widget section). 
You get this Twitter Widget ID from the code provided by Twitter when you create this widget: data-widget-id=”TWITTER_WIDGET_ID” or in the URL https://twitter.com/settings/widgets/TWITTER_WIDGET_ID/edit.
The plugin “mini Twitter feed” or twitter timeline puts Twitter on your WordPress blog, you can add your tweets or the tweets from the folks you like, lists, queries…
You can display up to 100 tweets within 7 days (limit set by Twitter’s Search API).
It displays tweets from your feed or from the Twitter Search, from a list or from your favorite users. It is very flexible and modular.

Mini twitter feed

Embed your twitter feed or the twitter timeline from your favorite users on your Wordpress blog. Shortcodes and widgets are used.

Twitter profile widget vs Mini twitter feed