I have recently started to make use of a password manager and good password practices.  I have a different password for each site that I use.

If I accidentally use the password from another site when logging in to a webpage, should I consider the password compromised and change it?

E.g. 


If my password for www.example.com was passwordOne
And my password for www.ejemplo.com was contraseñaUno 
And I accidentally try to log into www.example.com with password contraseñaUno


Would I need to update the password for www.ejemplo.com?

I can see a similar but different question here, but that relates to the password being entered into the username field.

Just to play the devil advocate...

You are as likely to be compromised as if you were using the same password on both site*.

As most people have pointed, you probably don't have to worry. Not so much because a website cannot make the difference between a good or wrong password but rather because most websites that you will visit will likely not log your password. The reason is simply that it provides no value to them. Most websites are there to do legitimate business and hence see no value in being malicious by recording every password entered.

Still, if I had evil intention and wanted to gather many possible passwords, hosting a service online to gather passwords would probably be a better alternative than trying to brute force every possible combinations. Catching all passwords, even bad ones, is not a bad idea if you are hosting that kind of "service". Users that have multiple passwords are very likely to enter the wrong passwords on the wrong site, hence logging bad attempts as well as good attempt is a good attack plan.

For example consider this quote from https://howsecureismypassword.net/


  This site could be stealing your password… it's not, but it easily could be.
  Be careful where you type your password.


It put things in perspective. Also, is such evil "service" so unlikely? It's hard to say but for sure it's nothing new: https://xkcd.com/792/

Note*: Well, I did say "as likely" but it's not exactly true. By using the same password on many sites you are not only vulnerable to malicious sites but also to the incompetence of site owners. Many websites still store your password in plaintext in their database or use weak hashing, which means that if an attacker is able to steal their database your password is compromised.
