Beads of sweat/perspiration trickled down his cheeks.
Can either boldfaced word be used?
Yes. Sweat is a more 'rugged' word than perspiration..
What does 'rugged' mean in the your sentence?
My father always used to tell me "Horses sweat, men perspire and ladies merely glow".
Beads of sweat/perspiration trickled down HER cheeks.
Can I conclude from the replies thus far that I should use 'perspiration' when the one perspiring/sweating is a female?
Beads of sweat/perspiration trickled down his/her cheeks.
Am I right to say that we can use either 'sweat' or 'perspiration' in the above sentence?