For most people an office environment is the only place they will meet people of various types and you really have to be careful how you tread.
I have a friend who worked with an “Alternative Lifestyle” person and non-verbally showed their disdain , the person complained and they were almost fired but had to take a sensitivity training class
I heard another story of someone who mocked his co-workers buddah in his own cubicle and also almost got in trouble as not being respectful of others. You are not allowed to preach about Buddah in the office, but you are not allowed to be mocked for it either. Same as a person supposedly born on December 25. A person can have a cross in their cubicle, but they cannot offer to “save” you.
Dealing with members of the opposite gender is a very fine line. While some might consider you name shaking their hand or avoidance of small talk as perfectly OK, others might take it very differently especially if they might be your superior or underling and might think you are not treating them fairly especially if you shake another males hand or engage in small talk with the men and not the women.