I protect my twitter account to save myself from email spam of requests through twitter. And hence my tweets are private too and not public. I have been looking for wordpress plugins to display the protected tweets and Twitter Stream wordpress plugin came at the right time. It allows to you display the protected tweets on your site.
But please make sure you have installed latest WordPress version(currently its 2.9.2) for this plugin to work.
Some other good features about this plugin are that it caches the tweets in local file system. So the tweet cache is used when the twitter API requests exceeds the limit. The default rate limit for calls to the REST API is 150 requests per hour.
There you go you got the latest protected tweets!