Read Page 1 ... and brief + execute the ILS Approach back into LCH. Let ATC notify your company dispatch of your situation and then move on. During this time, you'll also need to brief the F/A and tell them to prepare for an unscheduled return. The WX is a serious factor. If LCH is still at 200-1/2, you now also run the risk of the WX dropping below Mins, which being an airport close to the gulf coast, is very likely. You are also One Engine Inoperative. An ILS to minimums is stressful enough, but to do it Single engine and run the risk of having to do a Single Engine Missed (Go-around) puts even MORE STRESS on the cockpit crew. IF it only takes 20mins to fly to IAH and It will take 18-20min to return to LCH, I opted for continuing to IAH. The TIME...

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