The most common and most likely answer to this crossword clue is the 6 letter word BORNEO
B
O
R
N
E
O
More clues leading to the result BORNEO
- Narrow-minded leader of opposition in the island
- Carried round island in the Pacific
- Narrow-minded on large island
- Tiresome type carrying note round Pacific island
- Island represented by Oberon
- Carried nothing in island
- Carried round large island
- Geordie inhabits Teesside location briefly – it’s an alien territory
- Duck has suffered on island
- Carried round a Pacific island
Buddy explains!

The straight part
We know that "Asian territory" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case asian territory = borneo.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.