Save cookies in embedded website on canvas

I love the idea that opening a canvas can display a webpage, so I can notice if there is anything new there, if it is very important to me.

I’ve embedded this URL: "deuterium" "deplet*" - Search Results - PubMed

On this webpage, search results are displayed but not in the order that I want. There is a dropdown with the sorting options “Best match” (default), and “Most recent” (order I want). If I select the latter option, then the next time I open Canvas, it appears that a default option is still selected.