How to archive tweets to single page on WordPress site

Hi

I’d like to archive my tweets to a single page on my WordPress website. That is, I want to have a single static page, which is automatically updated each time I tweet with the text of the tweet and a date stamp. I want each tweet to pasted in as plain text at the top of the page, so that the page becomes a running archive of my tweets, with the most recent at the top. I don’t want the tweets to appear as separate blog posts, and I don’t want to use a script that does a twitter API call each time the page is accessed.

Does anyone know if there’s a way of doing this, please (perhaps with an ifttt script)?

Thanks!
Kit