EDIT: It took me too long to type this, and I see poncrypto beat me to answering. But I don't have the heart to delete it.
I also went full nerd and showed how to export/import private key if you really really ever need to remove the password, so maybe it has some value.
This is what I get for not testing things. I just kind of thew in the "remove password" thing in at the last minute, when just trying to picture what other people might be doing that is slowing them down. I googled around and it doesnt seem like you can't directly do it! I can't believe it!
I just played around with it, and you can still send with a password set with the debug window like this:
> walletpassphrase <passphrase> <timeout>
I tried this when I had a password set, and it worked:
walletpassphrase <your password> 999999
sendtoaddress <my own address> 1000
the 999999 is how many seconds it should keep it in memory, put a smaller number if you want.
Just send to yourself so you know it works.
And just to geek out, here is how you could remove the passphrase with exporting:
> sendtoaddress <one of your addresses> <enter in all your doge. ALL OF IT!>
> dumpprivkey <paste in the address>
It is necessary to ensure all of your coins are in a single address, the client likes to keep change in different addresses, so thats why that first sendtoaddress is in there.
Then dumpprivkey will print out your private key, it should start with a Q. Copy that into a notepad window or something.
then stop dogecoin-qt, and find the dogecoin folder that has wallet.dat, in windows that is %appdata%\dogecoin (just paste that into run menu), then rename wallet.dat to something like wallet.dat.old just in case you fuck up you can get back to it. Start up dogecoin-qt so it makes a new wallet.dat, then get back into the debug console and do this:
> importprivkey <private key>
it will freeze up a bit as it imports, don't freak out. When it is done you should see your dogecoin, and of course there's no password set.
Now watch I'm gonna lose everytime now that other people are gonna beat me, oh well it was a good run!