That is actually a rather difficult sound to represent in (American) English. In the general American dialect, the "e" of "very" is rhotacized, that is, colored by the following /r/. In other words, we don't say ve-ry, we say vair-y, and that's not the sound at the end of
Ottilie. It's more open than the "e" of "get" but without the glide of "day." Perhaps the easiest way to express it is as the vowel of "day" cut short.