Thank you, FishingAddict, for your continued suggestions. I have now removed all my Blocked Senders and turned the Block Sender Option OFF. I rebooted my iphone and ipad but it hasn’t fixed the problem.
My main issue was the time taken for incoming mail to appear on my iphone and ipad — it can take up to 10 minutes. But I wondered what happens to SENT emails, so I have carried out another set of experiments.
Using the Mail App on my iphone and ipad I have sent numerous test emails from one account to another (e.g. iCloud to Outlook, Outlook to Yahoo, Yahoo to iCloud).
On my Mac I had two windows open: (1) the Mac Mail App and (2) a Safari window logged into my Outlook account.
Every single email I sent from my iphone and ipad arrived on my Mac in 4-5 seconds. Brilliant! The emails I sent to and from my Outlook account showed up almost immediately in my Outlook account in Safari. So the emails are sent very fast, so I don’t think this is a wi-fi speed issue. But of more interest here is that none of these emails showed up in either the Inbox or the Sent box on my iphone and ipad — until around 10 minutes later.
So it’s not just a delay in receiving incoming mail on the ipad/iphone, I can’t see my sent emails either! But I can see on my Mac that they were sent OK. I despair of ever getting this fixed.
P.S. I have filed a report to Apple, but no response or acknowledgement.