Thanks for the resource suggestion @stacytheobald! I will have a look at it after I post here.
In terms of my professional obligations as a Psychologist here in Ontario, Canada, I am responsible for my twitter feed. I think my terminology was a bit sloppy in the first post… so I'll try again here 😉
If I block a user on twitter (I used the word 'delete' before), then the offensive tweet is removed from my feed. So are all of the other tweets from that particular user. So, this satisfies one component of my obligation.
The second level of obligation is to address the impact of the tweet on the community. I've reported offensive tweets to Twitter – their system offers me an opportunity to block the user (which I will) and then their own internal process of review is triggered. I can't control the outcome of that. But in terms of my own feed, the offensive tweet is removed and any Retweets by followers in my community (of the offensive tweet) will also be blocked from appearing in my feed.
Sometimes I have found a tweet in poor taste, but not flagrantly violating the ethical guidelines for Psychologists. I have used the side drop down menu on twitter to indicate "I don't like this tweet" and it seems to go away in my live feed. While that satisfies me (because I don't want to see it), I'm not quite sure about it's overall impact on the community. This last part is where some of lingering concerns are….. managing tweets that enter a more 'grey' area (ie., where blocking a user feels too strong and lack of response feels too weak).
Discussing the issue has been helping me organize how I describe my behavior… so again, much appreciated!