Is it correct for a married, Muslim woman to greet Muslim and non-Muslim adult males?

The jurists have written that, if a young woman makes Salaam to males, then it is not Waajib upon the males to reply to her Salaam, particularly if there is fear of Fitnah. This clearly indicates that females should not be greeting males whether they are Muslim, or non-Muslim. In our times, there is a strong fear of Fitnah irrespective of the age of the female, hence she should not initiate Salaam at all.

ALLAH TA’ALA IN HIS INFINITE KNOWLEDGE KNOWS BEST!