Their are nice hotels in the area with night security but You should be fine with normal precautions. Keep in mind the area is a mix of businesses, nice condos , smaller hotels and guest houses, modest houses and some shacks and junk cars alone the road which is typical for the island so don’t judge the area by the road you drive down if it doesn’t look like back home. If in doubt spend a bit extra and find someplace a little better. But Simpson Bay is as safe or safer than many areas.