The authenticity of this profile cannot be verified?

Question

Trying to using Configurator to install a profile on our iPads. When I prepare the devices, I have to press Install on each iPad, and this message comes up:
"The authenticity of "TWE" cannot be verified. Installing this profile will change settings on your iPad."
It shows the profile as installed in Settings; however, it says it's unverified. What does this mean, and how does it affect our devices? IMO, Apple is wildly unrealistic in thinking that iPads in education are still one-to-one devices.

Answer 1

It is an internally generated self-signed certificate. It is sufficient for most purposes but it is not generated from a recognized authority.
Use an SSL certificate
Your server can use an SSL certificate to provide additional security for its services.
The server can use an SSL certificate to identify itself electronically and communicate securely with users’ computers and other servers on the local network and the Internet. The SSL certificate provides additional security for Address Book, iCal, iChat, mail, and web services. These services can use the certificate to securely encrypt and decrypt data they send to and receive from applications on users’ computers. 
You can use the self-signed certificate created for your server when you set it up, or a self-signed certificate you created, but users’ applications won’t automatically trust either of these and will display messages asking if the user trusts your certificate. Using a signed certificate relieves users from the uncertainty and tedium of manually accepting your certificate in these messages. A man-in-the-middle spoofing attack is possible with a self-signed certificate, but not with a signed certificate, and that means users can trust the services they access.
Select the server under Hardware in the Server app sidebar.
Click Settings, and then click the Edit button to the right of SSL Certificate.
Choose an available certificate from the pop-up menu.  If the pop-up menu doesn’t contain any certificates, you can create a self-signed certificate. For instructions, see Create a self-signed certificate. 
If you want to use a previously generated SSL certificate, you can import it.
Related information
  Obtain a CA–signed certificate
Certificate replacement