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What you may be seeing is tape worm segments.These do look like maggots or small grains of rice and will come out with a bowl movement as the worm is in the intestines.This may also be why she is not eating properly.
However if there are any open wounds near the anus then you may be seeing maggots.
here is information on tapeworms. http://www.petmd.com/dog/conditions/infectious-parasitic/c_multi_cestodiasis#
Given the dog's age it would be advisable to see your Vet for treatment.