Hi guys! I'm unsure about a procedure I'm doing with fixed effects and I would like to check whether what I'm doing is correct.

I have people watching different movies (variable movie that goes from 1 to n where each number is a different movie) and I have other characteristics of the person as country of origin and gender. I also have as dependent variable score which is the score that each person gave to the movie. So I have that a movie was watched by different individuals, from different countries and different genders and I wanna see whether there're differences in the score that a person give to the same movie according to the gender or the country of origin (i.e. the same movie is rated differently for women and men)

Just to give an idea of how my data looks like
movie country_of_individual gender score
1 US 0 10
1 UK 1 8
1 GER 1 7
2 UK 0 2
2 GER 1 1
3 UK 1 8
3 US 0 6
What I'm doing in Stata is

Code:
xtset room
xtreg score_assigned i.country gender , fe vce(cluster room)
So my question is quite simple: are this 2 lines of code correct to explore what I'm wanna do (assess whether country or gender explains the scores that a movie receives, i.e. the same movie is rated differently by males and females) ?

Thanks!