First, if ALL your other shutter speeds work and the M7 does not work in AUTO, there is nothing wrong with the shutter as ALL the speeds with a battery installed are electronically controlled. Without the battery 1/60 and 1/125 are mechanically available.
I encountered a similar problem last winter with one of my M7's. In very cold weather, AUTO would not work, but metering and 1/60 and 1/125 were available for me to continue shooting. Are you SURE ALL your other shutter speeds work. If so, it is not the same problem with low voltage but that is what it sounds like. Do you keep batteries installed in your M7 for long periods of time without using your camera? I would check and clean the contacts and purchase new batteries of a reliable brand in packaging with an expiration date from an on-line source. Many bricks & Motor places have batteries that have sat for ages and won't work with today's camera, trust me, I've been there.
If the M7 still doesn't work in AUTO, you have two options, off to Leica or use as is. Let me know what you find please.-Dick
BTW its too bad that some of Posters were not able to offer some help.