You are anonymous until you decide otherwise. Employers see what you can do, never who you are, and nothing you do here tells your current employer anything.

Describe the work worth interrupting you for — roles, skills, where, how much, and which employers to leave out. Matching runs on your side and the results are yours alone.

Name them once and they will never see you, get no sign that you exist here, and cannot tell from any gap or count that somebody is missing.