MySQL replication: "Houston, We've Got a Problem"
If you really don't care about that table, you can use pt-slave-restart on the slave and have it skip those problems.  I would be conservative about running it and make sure that you are only skipping queries for the table/database that you don't care about or at least for only a specific error.

You didn't post what the error code was in the output from SHOW SLAVE STATUS, but I suspect it is error 1146.

For example, this will skip all errors for 1146:

pt-slave-restart -u root -p pass --error-numbers 1146


Or, you could try skipping all errors that reference that table

pt-slave-restart -u root -p pass --error-text 'database2'


Another way to do this would be to set replicate-ignore-db=database2 and restart MySQL on the slave, but there are some caveats to how that works that you should read about in the documentation