I believe I have the requisite genes that say that yes, I am a woman.
I have a terrible memory for names, so scanning through my ebook library, sci-fi wise, I would recommend:
David Weber - Honor Harrington, Dahak, Safehold series. Weber's books have technical/combat scenes, but I don't mind that myself. (His fantasy series, War God, is also excellent.)
Lois McMaster Bujold - Vorkasigan series - excellent (and her fantasy series, Chalion is one of my favorites!)
David Drake's books - Republic of Cinnabar (RCN) series, Hammer's Slammers series and the General (with SM Stirling) series, and also a lot of his stand-alone works.
Robert Heinlein - any
Arthur C. Clarke - any
Andre Norton - A lot of her books are from the 50s/60s and are YA, but I still enjoy them.
Jack Campbell - The Lost Fleet series
Jeffery A. Carver - Chaos Chronicles and Star Rigger series
John Ringo - Troy Rising series
Sharon Lee - The Liaden universe series (again excellent!)
Linnea Sinclair - any but I loved The Down Home Zombie Blues and An Accidental Goddess
Steve White - Starfire series (and most of his other works)
Tanya Huff - Valor series
C. J. Cherryh - Chanur series & Alliance-Union series
I'm sure there are others - I like both 'hard' sci-fi and 'soft' sci-fi. Nothing like a good space opera or save the universe theme, or a hard look at social issues via the lens of 'what if, in the future'.
Edited to add: Ah I see some of those I've mentioned up above! And more that I had missed - Elizabeth Moon, John Scalzi, etc.