Hello Vistauser589, and welcome to Vista Forums.
You could use the program in this tutorial to add a tray bar icon for Windows Mail.
http://www.vistax64.com/tutorials/68173-windows-mail-tray-icon.html
However, you might consider
Windows Live Mail instead. It supports Pop3, IMAP, HTTP website (EX: Hotmail) email, and is a lot more stable. Plus, WLM will minimize to a built-in
tray bar icon, checks spelling as you type messages, and has a separate Inbox for each email account. WLM will automatically import Windows Mail messages, accounts, and settings into it.
Contacts will have to be manually imported from within WLM. (Tools, Contacts, File, Import, Address book for current Windows User.) To see the
Menu bar, press ALT+M and check "Show all menus".
Hope this helps,
Shawn