I have both Mac Mail and AirMail / Spark set up on my Mac, which add a lot of functionality. Other posts have led me to believe these email clients don't necessarily route through the VPN. The company's apps are loaded from Citrix Web Interface available subsequent to logging in (including web browser, webmail and Citrix Viewer) with a VIP token, but the email apps are based on my drive.
The Citrix Web interface is an SSL VPN that, as you know, through a web-based interface. This is different than remote access VPN that uses a dedicated VPN client. Both create secure tunnels, but the SSL VPN work using a web browser instead of a client ... and that means, other non-web-based apps would to be able to use this same tunnel.
I would suggest that you contact your company's IT support folks to see if they offer another non-SSL VPN service that you can connect to.
Again, as far as mail, is your goal to just access your company's email server OR to do both that and access your private email accounts while connected to the company network?