Radiation induced cancer:  although it is true that excessive radiation may induce a cancer the risk of the latter is far outweighed by the benefit of early detection of breast cancer. This is borne out by scientific research. In addition, state-of-the-art mammography units deliver far less radiation dose than those of previous eras.
There is a constant search for more acceptable methods of breast imaging with greater sensitivity & no or less radiation risk. A number of modalities are available, including thermography, electrical impedance, optical imaging, nuclear imaging, positron emission tomography.  NONE OF THESE LISTED HAVE BEEN SHOWN TO COME ANYWHERE CLOSE TO MAMMOGRAPHY IN DIAGNOSTIC ABILITY. A negative result in these less sensitive methods may lull the patient into a false sense of security.
The risk of a women developing breast cancer in her lifetime is sufficiently significant to warrant a greater awareness and to encourage the appropriate surveillance.