Although I have made this tutorial specific to the ongoing presidential debates of 2016, but you can follow the same process to embed tweets of any Twitter #Hashtag.
This tutorial has mainly two parts:
1. Take the code from Twitter.
2. Paste it in your Blogger/Wordpress blog
For the first step, i.e. to take the code from Twitter please watch this video (35 seconds):
Now, once you have the code with you, simply login to your Blogger account. You can place the code either inside a blog post or in your sidebar;
To put it in a blog post, just create a new post and paste the code wherever you want in it and publish the post. [Check the DEMO here]
Now you can track and showcase all the tweets on Hillary vs Trump debates directly on your blog.