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https://my.blood.co.uk/knowledgebase/Index/I
Influenza Immunisation : Immunisations
As long as you are feeling well, you may give blood after this immunization.Flu Jab : Immunisations
For any Flu Jab (seasonal, swine or other) you can donate provided you feel well any time after the injection (on same day is fine too). You must feel completely well.
If you have had the flu jab as a priority because of underlying health issues, please check that it is okay for you to donate with those.
Anyone know what the situation is with giving blood and having a flu jab? Can't spot any mention on the website FAQs