Downhole fluid valve

A method, comprising:

• moving a distributor valve at a closed position into a wellbore, the distributor valve comprising a housing that comprises a housing fluid port, a mandrel that defines a bore and is positioned radially within the housing, and a fluid chamber radially defined between the housing and the mandrel;
• moving the distributor valve toward a downhole location in the wellbore at the closed position, the bore fluidly decoupled from the housing fluid port at the closed position;
• determining a particular pressure of the fluid chamber based at least in part on a difference in an estimated temperature in the wellbore at the downhole location and an estimated surface temperature;
• and
• based on a hydrostatic pressure in the bore that is greater than the particular pressure of a fluid contained in the fluid chamber, adjusting the distributor valve to an open position by urging the mandrel, with the hydrostatic pressure, to fluidly couple the bore to the annulus through a mandrel fluid port and the housing fluid port.