• Cable falls to 1.3439 as higher oil prices on Gulf hostilities inflate safe-haven dollar

• 1.3439 is the lowest level since Monday (1.3407 was the low that day)

• Tuesday high was 1.3481. UK May final services PMI due at 0830 GMT; 47.9 forecast

• Hawkish Greene comments suggest she'll soon join Pill in voting for BoE rate hike

• Majority of MPC, including Bailey, look set to vote for BoE rate hold on June 18

• Warsh pledges to follow the best of Fed's traditions, while also looking for change

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(Robert Howard is a Reuters market analyst. The views expressed are his own)