Lawyer for Traffic Law in Open Matter and Legal Situation

Hello people I have a question, I had a slight accident on 30.11 with paint damage and I am convinced that I am not to blame. I called the opposing insurance the next day and asserted damage compensation claim and also sent the questionnaire for the accident back to those. The police was also on the spot I called because the woman drove a company car of caritas association. The policeman listened to her and my statement and then a report written where I stand right and you left and checked is unclear subject and legal situation. Today came a letter from the opposing insurance that the woman or Caritas still did not express themselves to the subject matter. Now I would like to take a lawyer but I can not afford it because I am not insured for legal protection. Does the opposing insurance also pay the lawyer if the subject and legal situation is unclear? Or does my insurance pay an A nwalt? Greetings Tom