I sense that you are a fan of "The Little Mermaid,"
HI, or at least know it rather well... first the Flounder reference in the CbC thread, and now the one above...
The point you made was quite true, though. Although Middle-earth has a full share of strong women, they are generally not warriors (Eowyn being the exception). Since the Fellowship was supposed to be kept small, it would have been impossible to take along someone who wasn't able to give their all to the Quest or prove the most useful.