B737 NG First Officer reported landing safely after experiencing a trailing edge flap issue that resulted in a flaps 25 landing.

Narrative

During approach into HOU we had a flap indication issue. Gusty winds and wake turbulence from preceding aircraft caused the aircraft autopilot to disconnect and revert to CWS mode. I hand flew the course entry and asked the Captain to reset flight director and reengage the approach. We then proceeded to configure normally. At gear down and flaps 15 the wind gusts were causing the airspeed to fluctuate; so I asked for flaps 25. Once airspeed was 10 knots below flaps 30 speed limit; I asked for flaps 30. During approach; at approximately the final approach fix; as Captain (pilot monitoring) moved flap handle to flaps 30 as I requested; the flaps stopped at the edge of the white arc or white band for the flaps 30 position. When Captain went through the landing checklist he stopped at the flaps as he noticed the indicator not showing in the middle of the 30 band. He then confirmed the flap handle was in the 30 decent; and I visually verified. He then asked how the aircraft felt? Everything appeared accurate and felt normal; so I responded with that. He then asked how I felt about continuing the approach; and I agreed I believe that it was safe to continue. We received an aural warning approx. 200 AGL for too low terrain. We continued the approach and landing safely into HOU. Once on the ground; checklist and flow items as normal. We wrote the issue up once at the gate. Maintenance checked all associated computers and ran full flap check without issue.