Dave 001, your question seems very elementary...
Gas turbine exhaust [plus duct firing, if any] is producing ten units of steam per minute from HRSG; turbine uses ten units of steam per minute; flow is balanced, HRSG steam outlet pressure is steady.
Same scenario except turbine uses only nine units of steam per minute due to slightly closed-in steam valves reducing the flow; HRSG steam outlet pressure will rise at a rate inversely proportional to the amount of space available upstream of the control valves to hold the excess steam production of one unit per minute...
Now, how this gets handled is the question, and others have already provided some responses; here's another.
If the HRSG is of the once-through type [ OTSG ], "nothing" happens; provided the OTSGs are rated to withstand the maximum gas turbine tailpipe temperature, the feedwater supply can simply be reduced, steam production will fall, any outlet header pressure rise or condenser back-pressure issues will be resolved, and the HRSG exit temperature will rise. Note that all of this will take place at the sacrifice of HRSG / OTSG efficiency, but no equipment damage will occur; OTSG steam outlet temperature will tend to rise, so desuperheating will be required to hold the steam turbine admission temperature steady to preclude steam turbine differential expansion issues.
CR
"As iron sharpens iron, so one person sharpens another." [Proverbs 27:17, NIV]