I read this story many decades ago. Probably in a collection since I very rarely read magazines, but I don't remember at all what it might have looked like.
A very, very old alien tells her memories to Earthlings. She was born billions of years ago. Her physiological age is much less, since she travelled a lot at near light-speed velocities, but she is still very old.
She has visited Earth, billions of years ago, at a time where there was a brilliant civilisation of anaerobic creatures. IIRC, she came on several occasions, hundreds of millions years apart. On her last visit, they knew they were doomed. Our ancestors, i.e., cyanobacteria, were starting to perform photosynthesis and fill the atmosphere with oxygen that was poisonous to them...