Assuming that this hypothetical society from 10,000 years ago is not too nomadic:
I'd be one of the early astronomers, attempting to make calendars and measure the length of a day. If it wasn't for me, the tips of the pyramids wouldn't align with the stars.
I'd be responsible for gathering plants (herbs, flowers, seeds, fruits/vegetables) to be used as food sources. I'd experiment with the plants to concoct delectable meals. I'd probably die from eating some toxic root.
I'd walk the land to understand the topography and wildlife better. I'd attempt to chart the coasts and mountains around the area, and classify the creatures in certain areas.
I would tend to and raise livestock. I'd treat injuries, train animals for work, and raise them to be a good food source.
I'd be the local matchmaker that was responsible for arranging marriages. Familes would consult me before making marraige transactions. I'd also help people with their sexual issues and those "things that are not to be talked about."
For the most part, I'd be the open-minded scientist/naturalist/explorer that's interested in things that most others would find silly and arbitrary, but I'd provide interesting results from my explorations, so the tribe would love me.