Sources said that Mr Okuta and Ms Otieno separated last year.
Mr Okuta graduated from the University of Nairobi with a bachelor’s degree in education in 2013.
At the time of her death, Sharon was living with her parents in Homa Bay County.
Mr Bernard Okuta, Sharon Otieno’s former husband, has said people should avoid speculating about her death and let the police and other investigating agencies get to the bottom of the murder.
Ms Otieno, a student at Rongo University, was murdered and her body dumped in a thicket in Homa Bay last week.
Speaking to the Nation at Rapogi High School in Uriri Sub-county, Migori County on Sunday, Mr Okuta said he believes the killers will be known.
Although he confirmed that Ms Otieno was married to him, he declined to speak about their marriage, saying that the matter is too emotive for him to comment on.
When the Nation visited the school, Mr Okuta, a dark-complexioned, middle-aged man about five feet tall was wearing shorts and busy with the students.
He was initially hesitant to speak to the media and only spoke after a colleague joined him.
He was terse but was calm during the interview, which lasted less than 10 minutes.
“This matter is too emotive for me to comment. If I wanted to comment about it, I would have done so long ago. I would rather leave the matter to the police and other investigators to find out what happened. That is all I can say,” the soft-spoken Mr Okuta said.
He maintained that the family spokesperson, Mr Joshua Okong’o, had said all that was necessary.