I share the dislike of the phrase 'politically correct' as it only ever seems to be used in a derogatory way.
In answer to the question 'is there a place for pc', it's apparent from the political upheavals in the US, UK and other parts of Europe that many people have felt unable to express their views without offending what they see as the pc brigade.
The obvious Brexit example in the UK would be immigration imo. I live in a part of the country with high levels of unemployment and deprivation. We're also used as areas to which asylum seekers, refugees and it should not be forgotten, deprived white British people being sent out of the London area to keep housing benefit costs down. Our schools, hospitals and other public services are stretched, it's difficult to get school places etc in many areas. The difficulty is discussing these issues without matters either being dismissed (as in Jeremy Corbyn) or distorted (Nigel Farrage)
When most of us were in our teens, homosexuality was illegal. Thankfully, the kind of prejudice levelled at gay men and lesbians is rarely expressed in the UK these days. I see it as a good thing that the rights of the LGBT community are recognised and discussed sensitively by most people . I can't imagine the difficulties faced by people who believe they were born in the wrong body and want to transition. No wonder the medical profession are so careful about mental health/gender dysphoria issues, especially when it's parents of young children driving the agenda.
If wanting to approach these issues sensitively and not feeling its wrong NHS funding is available makes me pc, so be it.