@burhi,

You should either disable the "My Content and Settings" button at all or use the following CSS code: 

.wpd-wrapper.wpd-guest-settings .wpd-user-settings-button-wrap:first-child{
    display:none !important;
}

Put the code in the Top Admin Bar > Customize > Additional CSS > "Additional CSS" textarea, save it, delete all caches and check again.

Thanks @Asti the code below worked. It would be nice to have a setting for this though

.wpd-user-email-delete-links-wrap{
    display:none !important;
}