Hi Mary - I'm not familiar with Moonglow and couldn't find it when I did a quick search so I don't know what kind of euonymus it is but when I use DEER EUONYMUS as seach words on google, I found euonymus on the Frequently Damaged list. Sorry.
On the link below, euonymus is toward the bottom and highlighted in yellow.
On Google, if you click on "cached" at the end of the link address, it will highlight your search words for you. It's very handy especially if you bring up a long document.

Here is a link that might be useful: Minimizing Deer Damage to Residential Plantings