There won’t be any magnetic force acting on the wire in this case because, according the Cork-Screw rule, the magnetic field due to the straight wire will be parallel or anti parallel to the direction of current in the loop, thus creating an angle of 0 or ϖ with the direction of current.

According to F = ILBsinϴ

Where

I is the current,

L is the length of the wire

B is the magnitude of the magnetic field.

for ϴ = 0 or ϖ, F= 0.