Hello all, I really hope you can help me.

I have looked in the FAQ and searched this forum and did not find a problem exactly like mine, but if I missed one please forgive me.
I have a 1996 Ford Contour V6 that I inherited from my folks. Last night when I was driving home, the overdrive light began flashing off and on and the car was jerking each time in time with the light. I tried pressing the OD button on the shifter, but sometimes that seemed to work to turn the light off or on and sometimes it made no difference. I tried leaving it off, but it just came on and off anyway
Is this a problem with the transmission itself, or with an electrical component, like the switch itself since sometimes it seemed to work and sometimes it didn't.
Am I going to hurt it if I drive it to my closest Ford Dealer that happenes to be 20 miles away? Is there a chance it will just stop and strand me somewhere?
For the record, I am not a mechanic of any form, I just thought maybe you guys could help me figure out what to do and if the Ford guys are honest with me.
Thanks in advance for all your help.
Jennifer