Is the dentist not good enough if she ask me whether i want to to a x-ray to check my teeth if there is any problem? shouldn't she make the decision?

That depends: Did she say "I don't know if I should take X-rays, what do you think?" or did she say "I would like to take X-rays, is that OK with you?" As a patient you have the right to refuse X-rays even if your dentist believes they are needed. Most likely she was asking for your permission to take the X-rays. If she truly didn't know if they should be taken, then that would be a problem.

Good point: Yes, you are correct in your statement. However, you may have misinterpreted the question posed to you at that time. Not knowing exactly what was said, the conditions in your mouth, or your dentist history, it is difficult to determine if you needed radiographs at your visit. Miscommunication is usually the cause of most relationship problems... I suggest you ask for clarification from her.

Standard of care: If you are a new patient, your dentist will take x-rays to evaluate your oral health. Dental x-rays are part of dental treatment because they can detect damage to teeth and gums and surrounding tissue.