We'll create fresh WordPress site with Cache Tweets Widget installed. You have 20 minutes to test the plugin after that site we'll be deleted.
Cache Tweets Widget is a simple plugin widget that collects the tweets feed from twitter’s search API provided with a hashtag or any keyword.
It is cached to avoid rate limit with twitter.
Now You can fetch the user tweets of any user with their username.
Make sure you provide the Application Credentials created with Twitter.