The profession of a judge is Judge, like the profession of a policeman, is Policeman.
There are various titles for the different judicial offices, in different English speaking parts of the world: e.g. in England and Wales:-
In the Courts of England and Wales, Supreme Court, judges are called
Justices of the Supreme Court...
Judges of the Court of Appeal, also called Lords Justice of Appeal,
are referred to as "Lord Justice N" or "Lady Justice N."...
Lay magistrates are sometimes still addressed as "Your Worship"
and, in the US:
In many states throughout the United States, a judge is addressed as
"Your Honor" or "Judge" when presiding over the court. "Judge" may be
more commonly used by attorneys and staff...
The judges of the Supreme Court of the United States, and the judges
of the supreme courts of several US states and other countries are
called "justices". Justices of the Supreme Court of the United States
and Justices of other courts are addressed as "Justice (name)." The
Chief Justice of the United States is formally addressed as "Mr. Chief
Justice" but also may be identified and addressed as "Chief Justice
The justices of the supreme courts usually hold higher offices than
any other judges in a jurisdiction, including a justice of the peace,
a judge who holds police court in some jurisdictions and who may also
try small claims and misdemeanors...
New York judges who deal with guardianships, trusts and estates are
uniquely known as "surrogates."
A senior judge, in US practice, is a retired judge who handles
selected cases for a governmental entity while in retirement, on a
Subordinate or inferior jurisdiction judges in US legal practice are
sometimes called magistrates, although in the federal court of the
United States, they are called magistrate judges. Subordinate judges
in US legal practice who are appointed on a case-by-case basis,
particularly in cases where a great deal of detailed and tedious
evidence must be reviewed, are often called "masters" or "special
masters" and have authority in a particular case often determined on a
case by case basis.
Judges of courts of specialized jurisdiction (such as bankruptcy
courts or juvenile courts) were sometimes known officially as
"referees," but the use of this title is in decline. Judges sitting in
courts of equity in common law systems (such as judges in the equity
courts of Delaware) are called "chancellors."
Individuals with judicial responsibilities who report to an executive
branch official, rather than being a part of the judiciary, are often
called "administrative law judges" in US practice. They were
previously known as hearing examiners...
Judges who derive their authority from a contractual agreement of the
parties to a dispute, rather than a governmental body are called
arbitrators. They typically do not receive the honorific forms of
address nor do they bear the symbolic trappings of a publicly
appointed judge. However, it is now common for many retired judges to
serve as arbitrators, and they will often write their names as if they
were still judges, with the parenthetical "(Ret.)" for "Retired."
...the United States legal system (like most
Anglo-American legal systems) makes a clear distinction between
professional judges and laypeople involved in deciding a case who are
jurors who are part of a jury... Non-lawyer judges in the United
States are often elected, and are typically either justices of the
peace or part-time judges in rural limited jurisdiction courts. A
non-lawyer judge typically has the same rights and responsibilities as
a lawyer who is a judge holding the same office and is addressed in
the same manner.
But for a catch all term for the profession, Judge works just fine.