By default, the platform does not have this option. You can use the following CSS code to hide or remove the name on the profile drop-down menu. 

Please follow the steps below:

1. Go to BuddyBoss > Theme Options

2. Under Custom Codes, enable CSS

3. Append the following:

.header-aside-inner a.user-link img,

.header-aside-inner a.user-link span span.user-name {

    display: none;

}

4. Save changes 

Note: Any modifications are considered as custom work already. Know more about our Support policy here: https://www.buddyboss.com/support-policy/