You "want to" use your password ***** you log in?
Why? Is it fun?
Or is your concern something to do with whether the browser is remembering passwords across sessions?
This is a new one to me -- "forgot how [you] logged in," "[WANTED TO] type password," etc.
O.K., now I am utterly lost. What, pray tell, is a "shortcut"? A Windows shortcut is a file system entry. You are talking about nothing related to this. As for "know how to login to gmail," what's there to know? Set a link to it; call it "log in to gmail"; then surf there. I have no idea what procedural details you feel you are missing.
If we're of no help, perhaps that's because you haven't asked any question that can actually be answered meaningfully. I'm still stuck on "don't know how to log into gmail." THERE AIN'T NOTHING TO KNOW!
On top of which, PERHAPS you would be kind enough to share your logic with me.
You started with the notion that you "HAD TO" change your password--because you "DIDN'T KNOW" how to log into gmail.
I am still trying to decipher this.
Now I have hacked through your "shortcut." Did a friend or relative set up a desktop shortcut to you? Perhaps you could ask that friend or relative to set a bookmark so you can access it within the browser.