Use the "direct link" option once it's uploaded and paste that link into the picture URL space at the bottom of your reply.

Basically, TER will not host or post a picture directly.  Think of TER as all text and only text (for the most part).

When you insert a valid link (http://imagesite/youraccount/picture.jpg) to a valid image file (.jpg, .png, .gif ...), TER asks that host to transfer that image to the reader.  TER is just a middle man.  

But here's my question.  I'm Android, not Apple and I would never link a personal account anyway, but, in principle:  

Take a picture with your iPhone.

Save / synch it with your Apple account (basically, to the Apple servers in the cloud, not JUST on your phone).

Then enter the link to that pic in your TER post.  A lot of personal info, TOO much info, I think, 'cause the link would be something like http://www.apple.com/useraccounts/vernjonesaccount/pictures/picture.png  or where ever Apple hosts / synchs your personal data.  

Ahhh ... just stick to imagecoast, imgur or similar

It's free, and you can use your hobby name or a fake email. Then copy and paste the URL into the "picture URL" slot below.

Easy peasy!

Picture was of a pet grooming service in Philly, called, of all things, 'Doggie Style'
LOL !!