The first principle here would be, “just have sekel.” If the woman is stranded, you definitely want to give/take a ride. And I don’t think that driving someone’s bubby to the airport is problematic. I also don’t think that today’s society is comparable to the times of the Gemara.
The bottom line: if you have doubts, ask your Rav, particularly if he’s older and has a lot of experience advising people in everyday life. He knows the halachas, knows you, and knows the circumstances of the community in which you live.