Option 1: Narmada - D may cross the Narmada river during her train journey from Bengaluru to New Delhi. This option is not the correct answer.
Option 2: Yamuna - The correct answer is option 2. D will not cross the Yamuna river during her train journey from Bengaluru to New Delhi.
Option 3: Godavari - D may cross the Godavari river during her train journey from Bengaluru to New Delhi. This option is not the correct answer.
Option 4: Krishna - D may cross the Krishna river during her train journey from Bengaluru to New Delhi. This option is not the correct answer.
Therefore, the correct answer is option 2. D will not cross the Yamuna river while performing the journey.