Born in Ethiopia, she began running for Bahrain in 2010, making her debut in the junior race at the
2010 IAAF World Cross Country Championships and finishing seventeenth. She broke the national junior records for the
800 metres and
1500 metres events that year. She won the 1500 m title at the
2010 Asian Junior Athletics Championships and was runner-up in the
3000 metres event. She ran on the global stage at the
2010 World Junior Championships in Athletics a few weeks later and after running a Bahraini junior record of 4:14.05 minutes in the heats, she was slower in the 1500 m final and finished tenth. She set an 800 m junior record of 2:04.09 minutes in the heats at the
2010 Asian Games, but was again slower in the final, taking eighth place. She marked herself out as one of the regions top runners in 2011. Moving into the senior ranks at the age of twenty, she placed 30th at the
2011 IAAF World Cross Country Championships. She ran a 1500 m best of 4:11.27 minutes in
Tomblaine in June. She won that event at the
2011 Asian Athletics Championships the following month (her first regional title) and also placed fifth in the 800 m. In
Rio de Janeiro's
2011 Military World Games, she was the 1500 m bronze medalist. Genzeb was one of three Ethiopian-born Bahrainis to be entered into the women's 1500 m at the
2011 World Championships in Athletics alongside
Mimi Belete and defending champion
Maryam Yusuf Jamal. She was eliminated in the heats stage, however, in her first major world track appearance. She returned to regional competition at the end of the year, winning a middle distance double at the
Arab Athletics Championships in
Al Ain and taking the 800 m silver and 1500 m gold medals at the
2011 Pan Arab Games. She collected further medals at the
2012 Asian Indoor Athletics Championships, taking the 1500 m title and finishing second to
Zhao Jing in the 800 m. Following this she won her first cross country medal at the
Asian Championship meet, taking third place in a Bahraini podium sweep with
Shitaye Eshete and
Tejitu Daba. She ran in the 800 m and 1500 m at the
2012 Summer Olympics, reaching the semifinals of the 800 m. ==References==