Transfer email to new iphone

You don't need to transfer your email account, you can just sign in to your email account on your new iPhone.

Go to: Settings → Mail → Accounts → Add Account → choose whether it is a Gmail, Yahoo, Outlook, etc. and sign in. If you use an app from the mail provider, for example the Gmail app, then you just have to download it again from the App Store and sign in with your information.

Remember to remove your email account from your old iPhone if it is no longer to be used there.

You can find more useful information here:

Add an email account to your iPhone, iPad, or iPod touch - Apple Support