Hello doctor a decorator came to my house not long ago to fix a window and he was cut, and i was cut by broken glass on the floor about five minutes later.my wound was only a millimeter in size, and it was bleeding.if the worker has hiv, i infected?

If you were cut by a piece of glass with blood from visitor there is a small chance =yes. If not no. For peace of mind get tested.

No risk whatsoever, unless there was visible wet blood on the glass and your cut was rather deep. Nobody in the world has ever been known to be HIV infected by contact with a contaminated environment. Don't worry about it.