B737 captain reported that a go-around and diversion resulted in landing with low fuel.

Attributes
ACN	1697583
Time
Date	201910
Local Time Of Day	0001-0600
Place
Locale Reference	ZZZZ.Airport
State Reference	FO
Environment
Flight Conditions	IMC
Aircraft 1
Make Model Name	B737-800
Operating Under FAR Part	Part 121
Flight Phase	Initial Approach
Flight Plan	IFR
Person 1
Function	Captain
Qualification	Flight Crew Instrument Flight Crew Air Transport Pilot (ATP) Flight Crew Multiengine
Events
Anomaly	Inflight Event / Encounter Fuel Issue Inflight Event / Encounter Weather / Turbulence

Narrative:

We did a go around with a subsequent wind shear encounter due to the fact that you cannot deviate from the arrival and approach once you are below a certain altitude. With better ATC guidance; which we requested; we would have held or divert to the alternate airport. Having done the go around we got ATC clearance to fly to ZZZZ. We landed with low fuel indicated in both main tanks. We had 4K lbs on board. We were a few hours late and did not have correct information to avoid the situation. It would be a good idea to carry more fuel than just what is required to satisfy max landing weight. The excess fuel can be burnt off in the holding pattern before landing.

Original NASA ASRS Text

Title: B737 Captain reported that a go-around and diversion resulted in landing with low fuel.

Narrative: We did a Go Around with a subsequent wind shear encounter due to the fact that you cannot deviate from the arrival and approach once you are below a certain altitude. With better ATC guidance; which we requested; we would have held or divert to the alternate airport. Having done the Go Around we got ATC clearance to fly to ZZZZ. We landed with low fuel indicated in both main tanks. We had 4K lbs on board. We were a few hours late and did not have correct information to avoid the situation. It would be a good idea to carry more fuel than just what is required to satisfy max landing weight. The excess fuel can be burnt off in the holding pattern before landing.

Data retrieved from NASA's ASRS site and automatically converted to unabbreviated mixed upper/lowercase text. This report is for informational purposes with no guarantee of accuracy. See NASA's ASRS site for official report.