well, it is a job, it's like asking"can a woman take a management position where she must fire people sometimes"
many men also would feel bad and perhaps even unable to pass harsh judgements, I know I cannot live with having for example a person who died on a death row sentence going by a law I passed. this is why I said the woman should be qualified, I don't like steryotyping in examples like these, I am sure you can find at least one heartless woman out there
to answer the question explicitly, you give women the right to run as candidates for it, and then you judge fairly between men and women. what I would be against is that a potential woman candidate be shot down and not considered, based on that steryotyping, before she is given a chance to prove herself