Concept:
This is a height comparison question.
We arrange all persons from tallest to shortest according to the given information.
Step 1: Use the first condition.
\[
J\text{ is shorter than }D
\]
So,
\[
D>J
\]
Also,
\[
J\text{ is taller than }T
\]
So,
\[
J>T
\]
Therefore,
\[
D>J>T
\]
Step 2: Use the second condition.
\[
H\text{ is the tallest}
\]
So \(H\) is above everyone.
\[
H>\text{all others}
\]
Step 3: Use the third condition.
\[
K\text{ is a little shorter than }D
\]
So,
\[
D>K
\]
Also,
\[
K\text{ is a little taller than }J
\]
So,
\[
K>J
\]
Thus,
\[
D>K>J
\]
Step 4: Combine all information.
We get the order:
\[
H>D>K>J>T
\]
Step 5: Identify the shortest.
The shortest person is at the end of the order:
\[
T
\]
Step 6: Final answer.
\[
\boxed{T}
\]