You Do Need power plug adapter while traveling from Abu Dhabi to Anguilla.

Here is Why You Need An Adapter

The outlet and plug type used in Anguilla are A and B and in Abu Dhabi is G. This is how they look like.

Abu Dhabi

In Abu Dhabi, outlets of type G are in use.

Type G

Anguilla

In Anguilla, outlets of type A and B are in use.

Type A

Type B