Step 1: Understand the clue.
We need a protozoan that has four pairs of flagella. Four pairs means eight flagella in total.
Step 2: Check Trichonympha.
Trichonympha lives in the gut of termites and has very many flagella covering its body, not just four pairs. So it does not fit.
Step 3: Check Trypanosoma.
Trypanosoma, which causes sleeping sickness, has only one flagellum forming an undulating membrane. So it does not fit.
Step 4: Check Trichomonas.
Trichomonas usually has four to five flagella, not four pairs. So it does not match the clue of eight flagella.
Step 5: Check Giardia.
Giardia is a gut parasite that causes diarrhoea. It has a symmetric body bearing four pairs of flagella, which is eight in total. This fits exactly.
Step 6: State the answer.
The protozoan with four pairs of flagella is Giardia.
\[ \boxed{\text{Giardia}} \]