@jac As a quick POC I decided to create a Twitter widget on your Categories page - see below for what it looks like
It’s not styled as such yet, but is nothing more than a widget taken from Twitter directly here
This then gives you the code to place into any widget
<a class="twitter-timeline" data-height="800" data-dnt="true" data-theme="light" href="https://twitter.com/StockportCounty?ref_src=twsrc%5Etfw">Tweets by StockportCounty</a> <script async src="https://platform.twitter.com/widgets.js" charset="utf-8"></script>
The widget code is shown as below
Save the widget, and off you go
Clearly, you need to tailor this a little depending on what you actually want to capture, but this is the overall concept.