Transmission ?

I have the infamous 3650 in my 01 Gt...Now I dont have the 1st to 2nd grind but I have noticed that when I drive my car for a while say about an hour or so I start having trouble putting it in to gear any gear especially reverse! I have 50,000 miles on my car do you guys think I need a new clutch? It has never sliped or anything and like i say when its cold gears go in fine with no problems. Could it you be the transmission fluid? Anybody ever had this happen to you? thank guys in advance

Oh yeah I just bought the car 3 months ago so i have no idea if the clutch has been replaced or not
 
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