Just to add something here: You say, "She again became upset and said perhaps I should get a new agent." Based on your experience with her, I'd say that sounds like a pretty good idea.
Stick to your guns.
If we correctly understand your issue, your listing agent had a potential buyer for your property. If so then your agent was at that time practicing Dual Agency. In this situation it is incumbent upon the agent to advise both parties of his role as dual agent and to treat fairly with both parties. It seems that your agent tried to "strongarm" you into accepting an offer that was not acceptable to you. Refusing as you did was your bet course of immediate action. You should consider contacting the Broker for the agent to register a complaint and appoint a new agent to represent you. Read your listing contract to determine your options to cancel if any.
Fran and Mark Redding
Prudential Fox Roach
1010 Stony Hill Road
I work in Los Angeles, as well as many other excellent agents on this site. I wouldn't put up with that kind of treatment for one minute. Hire someone you can work with.
Under those circumstances, you are right all the way, don't be afreaid of parting ways with an agent like that. She is suppose to be representing (Your Interest) I personally think her attitude is unacceptable. And she is not doing you a service by refusing to help you make a counter offer. That is her job. The buyer can always refuse the counter. For her to say she will not even write one out, is out of line. Just my opinion.
During these times, there are many listing agents out there that would love to have you as a client and work for your best interest.
Best Wishes - Blaine Richards Keller Williams - Hollywood Hills.