Yours is a very typically male point of view.

Female athletes having to complete against trans-identifying males tend to disagree that this is frivolous issue. As do many others.

Do you think trans people should be allowed to exist in public society?

Yes, there's room for people with all sorts of beliefs in a tolerant society.

The problem is in trying to force others to kneel to their beliefs and, worst of all, trying to take rights away from others - women and girls especially.