There are several species of antelope which end with "k", but most of these are not small. Two small antelopes are the Cape Grysbok and the Steenbok. Bok is the Dutch word for "antelope".
Answer.
That would be the Dik Dik. This very small antelope stands approx 12-16 inches at the shoulder, and weighs 7-16 pounds.
There is another small antelope beginning with 'K' called a Klipspringer. It is native to southern and eastern Africa, and looks very similar to the Dik Dik.
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dikdik
lark
The dik-dik is a small African antelope that lives for months with no water except for dew and the moisture in its diet of vegetation.
Tsessebe (Damaliscus lunatus). East African antelope ending with opi, would be the Topi.
The okapi is a small African antelope.
Kudu.
A small African antelope beginning with the letter I is an Imu.
i dn :o
aardvark, antelope, and anteater
That would be the Impala.
Oribi
nilgai