If you want to embed one or more Tweets in a page simply insert the Twitter URL directly in the page editor and WordPress will display it as a full Tweet.
Here are a couple of examples of embedded Tweets from the @WordPress Twitter stream:
WordPress 3.8.1 Maintenance Release: http://t.co/zhF1yEosbz
— WordPress (@WordPress) January 23, 2014
Version 3.8 “Parker” is available with a redesigned, responsive admin, theme browser, and a new magazine theme: http://t.co/n9Kwk2n27P
— WordPress (@WordPress) December 12, 2013