The only way to show a tweet on a post was to take a screen shot of the tweet and post it. But now Twitter allows you to embed a tweet.
The Html code generated for this is a bit lengthy one, but this will allow you to display the tweet exactly as is with the links. This may or maynot work on your website since it will use some of your styles used.
To get html to embed on your post
1. Go to Blackbird Pie
2. Enter the tweet URL
3. Copy the HTML generated and paste it