What's your cruising style?
As an older woman, you'll want to be sure of getting certain basic amenities, such as having bothersome travel details worked out for you; traveling to several destinations while having to unpack just once; enjoying excellent service and food. And you'll also want good value for the money you spend.
Unless your pet is small enough to fit under your seat and you can bring her into the cabin, taking her on a commercial flight can result in a difficult trip for both of you. That said, here are some tips that can make the trip less stressful for both you and a pet of any size.