Publius Sulpicius Quirinius

51 BC - born  6 AD - appointed Legate of Syria 12 AD - returned to Rome 21 AD - died

Quirinius is listed among the Roman procurators at Propraetorial Imperial Legates of Roman Syria (27 BC to 193 AD).

It may be that he was a fiscal procurator, see Procurator (ancient Rome): Fiscal Officers

Luke 2:2 This was the first census taken while Quirinius was governor of Syria.
The Greek word translated as 'governor' is 'hēgemoneuō'

In like manner, Luke 3:1 Pontius Pilate was governor of Judea
'governor' here is 'hēgemoneuō', also.

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How to Face Apparent Contradictions in the Gospels - Does the Census Account in Luke 2 Contain Errors?
Justin doesn’t call Quirinius a “governor” but a “procurator” (epitropos)—a different office entirely.
The Census and Quirinius: Luke 2:2
A Brief Comment on the Census in Luke 2