Correct (many deer): Light and fast, the deer easily make their way through the thick forest.
Or (one deer): Light and fast, a deer easily makes its way through the thick forest.
- Don't use all caps: Write
deer, notDEER. All caps looks like shouting. - Singular vs. plural: If you mean more than one deer, say the deer and use
makeandtheir. If you mean one deer, say a deer and usemakesandits. - Comma is fine: The comma after "Light and fast" is good because it's a short describer at the start of the sentence.
- "Thick forest" is good: That phrase describes the forest well.
Great job — choose the plural or singular version depending on whether you mean one deer or many!