M.P.
My 10 month old granddaughter can play by herself for 15 minutes or more. I suggest you've created this situation by playing with her. I suggest that you will now need to change the routine. Let her play alone. Let her fuss, whine, even cry when she wants you to play with her. You can build up to more time. At first give her a toy or toys and stay back away from her but stay where she can see you. When she gets bored show her how to pick up another toy and then back away. Gradually build up the time you leave her alone.
Don't feel guilty. It's an important part of her development to be able to entertain herself.