Did you start the car right after you did the oil change, or was the this morning the first time since the service? If it was the first time, it does take a second or two for the oil to get flowing again and I'm not sure how long you let it run. I always change my oil hot, and then start it right when I'm done with the service in hopes that the heat that is still in the engine will help the oil flow more quickly and have never had a problem.
What did your oil pressure gauge say this morning?
What does the dipstick read?

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Thanks,
Dave

1998 BMW 540i Sport
1995 E320
1992 400E
1989 BMW M3
1979 Triumph TR7 (1st car)
1986 BMW 735i (Sold)
1980 BMW 320i (Sold)