Hello doctor,
my mother(45+ years) has bone spur(tissue like projection) in the foot from the foot x-ray and scan taken.
now I have a doubt that whether is it a bone tumor or bone spur.
because sometimes she has fever, chills and little night sweat, vomiting and tenderness, swelling.

What has you thinking that this could be anything other than what a professional has stated it as being?Those symptoms could be from many other things,not from a bone spur.

Are you a doctor?

I would definitely check it out asap.
A bone spur shouldn't cause those other symptoms, but that does not necessarily mean it's a tumor. I would suggest getting a blood test
I am not a doctor