How can I stop iPhone from auto-downloading email?
I have email set up on my iPhone. Every time I open the Mail app, any unread emails currently on the server at my ISP are automatically downloaded to the iPhone. I don't want this. So I went into settings, tapped "Mail, Contacts, Calendars," and I set "Fetch New Data" to OFF. Is that not the setting to allow auto-downloads of data from whatever server I'm connected to? Since I set it to OFF, it should therefore not allow emails to be downloaded automatically. If that's not the right setting to do this, could someone tell me what I should do? I don't see anything else related to downloading in that group of settings.
Also, yesterday, I was on my laptop at home. I was waiting to get an email from someone, so I kept checking. After several hours, I still hadn't gotten it, so I wrote the person to ask why, and they said that they DID send it. So I checked my phone, and there it was. Why did the email get deleted from my server? It's bad enough that emails are auto-downloaded to the phone, but on top of that, they're deleted from the server so I can't access them from any other device?
Can someone tell me how to make sure that neither of these things happens? I probably need to configure two different settings.
Thank you!
iPhone 5s, iOS 9.3.2