Just smile at them nicely and say, “I’m so sorry, but I don’t shake hands for religious reasons”. Chances are they will respect you. And if they don’t, that’s their problem.
If they are a big client and they get insulted, then it is YOUR problem.
Some will respect and some wont and there might be cases where you are introduced to a man and a woman together, then the “Tissue trick” doesnt work”