The zoo believes the albino red-necked wallaby, which will grow white fur, is a descendant of one given to the Queen.
Unlike normal buffalos that are dark brown in appearance, the albino buffalo is almost beige and easily stands out from the rest of the herd.
The albino condition, caused by a lack of colouring pigments in the skin, can lead to the animal being susceptible to sunburn, but the zoo said its wallaby enclosure had lots of shade and it should lead a "normal life".
Keen to make a film documenting the plight of this group of people, Freeland headed to Tanzania, the country reported to have one of the biggest albino populations in the world.
Dr Charles Musyoki, a senior wildlife official, told the BBC that albino animals wre very rare and in the past only an albino zebra had been spotted in a Kenyan park.
The male albino ferret has been named Kon-Tiki after a famous 1940s raft expedition across the Pacific Ocean.
"It is a thriving business ... witchdoctors are asking business people to bring the body parts of albinos, who are not considered human beings, " said Franck Alphonse, director of the Tanzania Albino Center.
Newly enamored of the country since producing documentary "Albino United" --- about an albino football team in Tanzania -- in 2010, Broomfield is shooting his next feature film in the city of Mwanza on the shore of Lake Victoria in the north-west of the country.
On the very odd occasion an albino will be born and we've got that very odd occasion.
When someone started in on his experience chasing albino alligators through the New York sewers, I decided it was time to stagger off to bed.
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The whole thing ends with a pool full of baby albino crocodiles.
"My agenda shall be to ask the government to educate the society on the misconceptions that one could get rich quickly merely by possessing albino parts, " he said.
Government officials have said they are educating police officers to help address albino killings, but admit it is hard to quell the attacks.
Dar Es Salaam, Tanzania (CNN) -- Tanzania's first elected albino lawmaker says his win is a major victory for the embattled minorities who are targeted for body parts believed to have special powers.
"It's been in the pouch for a little while now and we've been able to see it wriggling around, but when it popped its head out for the first time we got a bit of a shock - we didn't really expect it to be an albino, " said Ms Simmons.
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