During a diy home repair, would a one time exposure of handling asbestos from an older home's electrical wiring insulation for about 10 minutes be cause for concern? or should one seek some kind of medical attention for that type of exposure?

This is likely a low level risk. The issues of lung irritation/asbestosis and or mesothelioma were a prominent issue discovered decades after people for hours worked daily with this material. How a low level exposure would effect a healthy person is not clear. Once done, you will just need to keep it in mind if lung issues show up in the coming weeks/months.