blubells No, if it has anything, it has two dots over the 'e'. The dots are called a diaeresis and show that two letters, side by side, that would often be pronounced as one sound (here, 'oe', as in 'toe' or 'Joe') should be pronounced separately: Chlo-ee.
Yes you're right about the diaeresis, Chloë.
In French it's spelled Chloé though.