The ability to cary a conversation into a specific direction, or simply just having a human dialogue is not always a given. Depending on the situation a feeling of being uncomfortable is very common.
Before these sort of conversations, a lot of questions can be swirling around your head, and very often it's the unknown that is the scary part - rather than the actual conversation. It can be all sorts of conversations, with children, relatives, colleagues, or customer service.
It can however, also be completely the opposite. You might need to have a professional meeting and that conversation can be just as daunting as emotional conversations/more personal conversations.