.ke domain is a ccTLD – country code Top Level Domain.
Geo Target
Does your business target the Kenyan market..?
Google gives higher search engine rank to websites with ccTLD within those particular territories. Google gives higher search engine rank to websites targeting those particular territories based on domain name. ccTLD indicates that a particular website is targeting a specific country.
In this case, a .ke, .co.ke indicate you are targeting Kenya.
Local Credibility
Kenyans and people browsing from Kenya will give credibility to a business running on .ke or .co.ke domain as compared to a business running on any other top level domain.
When not use .ke for your business in Kenya
When you are looking to build a brand to target international market. Google will ideally localize your brand to Kenya. A .com is a preferred domain name extension when building a brand for a global audience.