Getting a ticket is being charged, so I'm not sure what you mean about having a chance of not getting charged. If you mean not getting convicted, there is always a chance of that.
Whether the accident is the fault of both drivers or not, if they can prove beyond a reasonable doubt that you didn't properly yield while turning left, then they will convict you of that. You can always change your plea from not guilt to either No Contest (also called Nolo Contendre) or Guilty. If you plead No Contest, you're not admitting or denying guilt, you're just accepting the consequences.
Without more information it's not really possible to tell you what you should or shouldn't do. You should contact an attorney who handles traffic cases and discuss all the facts involved and all of your options. My firm practices in DeKalb and we'd be happy to talk to you if you'd like to get in touch with us. Our number is 678-376-5541.
You have been charged, so there is no chance of not being charged. You can certainly change your plea, the question is should you? Is there a reason to do that, or is there a reason not to. If there is any civil litigation regarding this accident, you should consult with a civil attorney before making your decision. It is impossible to decide for you what you should do. If you really want legal advice on this, you should sit down and discuss the case with an attorney in your area, who after fully understanding the circumstances can advise you as to what the consequences of your decision would be.
This response does not create an attorney client relationship and is offered for informational purposes only. Only a lawyer fully versed on the facts and circumstances of your case can properly advise you on the case. I am licensed to practice in Minnesota, not every state. You should always consult with an attorney licensed in your area on how best to proceed.
Many jurisdictions dismiss cases such as this where both parties are at fault as long as you show up for your initial court date, i.e. City of Atlanta. A guilty plea can have ramifications on a pending, or soon to be pending, civil case. If you admit guilt (essentially admitting fault) in a criminal case, it can be used against you in a civil case. You should hire an attorney to protect your interests in the criminal case and a potential civil case.