Looking for an old fashioned bicycle with coaster brakes & hand brakes for a woman
They are still made! Try a search for "bicycle coaster brake." You can narrow it to a "woman's" frame by adding "mixte" or "step through" or "woman's" to the key words. If you want gears add "3-speed" or "internally geared." Those searches will get you quite a range of bikes – from retro beach cruisers to very modern urban bikes.

Once you find some that appeal to you, post some links. There are plenty of folks here who can help you evaluate the differences between them.