Robert James Purkiss, 38, was remanded in custody by a judge after being arrested on Thursday, Britain's National Crime Agency said in a statement.

Purkiss is wanted in Kenya on suspicion of killing 21-year-old Agnes Wanjiru in 2012, in a case that has caused diplomatic tensions between the two countries.

The body of the young mother was found in a septic tank two months after she reportedly went partying with British soldiers at a hotel in Nanyuki, a town in central Kenya where Britain has a permanent army garrison.

Kenya's Office of the Director of Public Prosecutions (ODPP) welcomed the "significant development" in a statement on X, adding it was a result of an "extensive and coordinated effort" between the British and Kenyan authorities.

The ODPP "reiterates its unwavering commitment to pursuing justice for Agnes Wanjiru and her family, in collaboration with international partners, to ensure that those responsible are held fully accountable", the statement added.

In September, a Nairobi High Court judge issued an arrest warrant for Purkiss, with local prosecutors saying extradition proceedings would be initiated to bring him before a Kenyan court.

Purkiss appeared in court on Friday, saying he did not consent to being extradited, the Press Association news agency reported.

The judge rejected his application for bail and ordered him to appear before the court again on November 14.