Michael Cholbi, professor of philosophy at the University of Edinburgh, has put together a useful handout for students and others interested in philosophy about the different ways philosophers respond to objections.
It seems like figuring out how to respond to objections is something students tend to need help with, and I think laying out the range of strategies is useful for them and anyone interested in how philosophical argument proceeds.
Professor Cholbi kindly gave me permission to share the handout here. He acknowledges it is not an exhaustive list.
The handout is also available here.
Suggestions for additions to the list of response strategies are welcome.