I've had the same problem for about a month. I'm running Outlook for Mac 16.29 (19090802), Mac OS 10.14.6, and Evernote 7.13 (458080 Direct). Cut and Paste from Outlook works to Apple Notes. This is what I'm using as a workaround.
Note to Evernote, I won't be renewing my annual contract in Dec if this bug isn't fixed. This is a big deal for me!