Long running query concern

[Charles Nack]

My sql query is taking a bit of time to run for the size of my database and is a small concern. It took about 1 full second to return the results in phpmyadmin running this. Problem is that on the site it is going to be run quite often by end users and for performance I was wondering if there is a better way to script this. It may be a design flaw in my database. Please let me know if you need anymore details.

Table GameScoring: 3800 records
Game: 800 records
Player: 800 records
Other tables have less then 20

Query:
SELECT Player.PlayerID, Team.SchoolName, Team.Mascot, Player.PlayerFirst, Player.PlayerLast, COUNT( GameScoring.GoalID ) AS Points, Division.DLongDesc
FROM GameScoring
INNER JOIN Game ON GameScoring.GameID = Game.GameID
INNER JOIN Team ON GameScoring.TeamID = Team.TeamID
INNER JOIN Division ON Team.DivisionID = Division.DivisionID
INNER JOIN Player ON ( GameScoring.Scorer = Player.PlayerID
OR GameScoring.Assist1 = Player.PlayerID
OR GameScoring.Assist2 = Player.PlayerID )
WHERE Team.DivisionID =1
AND Game.SeasonID =6
GROUP BY Player.PlayerID