The mail app should not embed photos like that. Did someone say they could not open it? It only looks embedded. Mail app doesn't use paper clips. Did you try sending yourself a photo to see if you can save it?
If the photo can be seen in the email then a long tap on the photo will give you the option to save the image to your camera roll. From there you can do anything with the photo you wish. The foregoing assumes the email is being opened on an iPhone or iPad. If I receive the same email on my PC in MS Outlook the photo is an attachment.