A Drop of Botox Under Eye or Not?

I have never had any Botox before. I went for a consult in Scottsdale, AZ at a very reputable surgeons office. I was told that the bulge/wrinkle under my eye is caused by a muscle that most people don't have to treat. I'm 39 and wanting to look less tired. She recommended a DROP of Botox under the eye in that muscle ( besides numerous other places) but did warn me it could pull my eye down slightly. Do I try it under my eye? I've read some women getting more bags. I don't want that for sure. TIA!