Everything depends on your exact policy.
Insurance companies are all about: taking in more money total than they pay out, and managing risk.
Generally, whether it is your fault or not, if they cannot get the money from the other driver or his/her insurance company, your rates can and likely will go up. Insurance companies do not like to pay out.
Now, if your policy has accident forgiveness, which many insurance companies now sell, that's different. You can get away with one accident without rate impact.
BUT, again, insurance companies are not about being generous or particularly forgiving. For the most part you are paying a bit more for that kind of insurance. They really are not forgiving anything, they are getting the money for the first accident up front in the form of higher premiums.
But you 'feel good' knowing you've got a pass on one accident.
2009 Solstice Coupe. #868. Wicked, N/A, Auto, Two-Tone Leather. SOLD
2007 Lotus Exige S. Canyon Red.
1974 Lotus Europa Special Fully Restored