I managed to work it out! It is a wireless printer...thank you Unman...you rock!
However my trouble shooting brought up another question: It appears as if the DVM launched from "work" inherits the firewall settings from "work"? Is that to be expected? All I needed to do was add my printers IP to my "work" firewall...is that correct? It does work! I have detailed the step-by-step instructions I followed below in case others want to do this. If I have done something wrong or there is a better way to do this...I am open to feedback.
Installing wireless network HP Printer into Debian template for DVM:
1) Clone updated Debian Template for printer
2) Download “HPLIP” driver in disposable VM(from HP website)
3) Move drivers/downloaded file to “Cloned Debian Template for printer”
4) Move file to “Cloned Debian Template for printer” desktop
5) Open terminal in “Cloned Debian Template for printer” and type:
cd Desktop
sh hplip-3.17.11.run (“hplip-3.17.11.run” was the file name for my drivers)
(when prompted for password type “su”)
6) Open printer settings in “Cloned Debian Template for printer”
7) Click “+” icon in the printer settings
8) Click “Network Printer” → “AppSocket/HP JetDirect” → enter printers ip address in “Host:” → “Forward”
9) A choose driver screen pops up → in my case I selected “HP” → I then selected my specific printer → this then allowed me to print a test page
Additional Notes:
* Assumes GNOME is installed (sudo tasksel → GNOME (use space bar to select GNOME)
* Need to temporary allow network access to “Cloned Debian Template for printer” to print test page
* If printing from “work” or other trusted VM, make sure to allow firewall access in “work” to printer IP if firewall for “work” is restricted
* Change DVM to “Cloned Debian Template for printer”
https://www.qubes-os.org/doc/dispvm-customization/