I checked the 00Z soundings from Trinidad and Guateloupe and they agree with ED. TTPP-Trinidad showing 75% or greater Rel Hum. up to 546mb and winds from the ENE-E.
Guadeloupe sounding not quite as moist. Shows >70% rel. hum sfc to 800mb-with 95% at 800mb! Winds are constant 075 deg up to 456mb level.
Guadeloupe and Trinidad indicating S-SW winds above the 200mb level.
If I read this right it doesn't seem that there is very much shear present.