You can create a direct link to the updates of a Twitter profile. Here are the instructions on how to insert a Twitter widget on your site:
Enter the Twitter widget creation: https://twitter.com/settings/widgets
Click on "Create new" and customise the widget as you like.
Once everything is set, you can confirm by clicking on Create Widget
Now you just have to copy the shown code and insert it in your site.
You just have to:
edit a block of the page you want to share the Twitter updates on
go to the "body" entry
paste the previously copied code after the code <div class="eaKeep">
insert at the end of the code </div>
click on "Source" again
confirm with "ok"