Managed to add the email steps (quite proud of myself) with amazing results! Just what I was looking for except it goes inline in the email instead of an attached pdf. But it’s fine. It looks very cool and just one tap and a 10 seconds it’s there. What a joy Shortcuts is! Thanks!
I guess the dream solution was like having Alfred on iOS where one could type the query and hit enter to have it automatically be searched on the specific site.