I took my test at 11am Tuesday and had result back by 4pm the same day (the clinic/lab where I test guarantees results back within 24 hours - some places take longer.) Last night (Tues.) I completed my ED card and uploaded the test results. Received the green checkmark within a few minutes.
As soon as you receive your test results I would complete the ED card - hopefully you will get them back soon but you can also choose to show your results at the airport, too.