Can blood-borne pathogens spread from a gripper in a thumb cut?

Hello doctor,

I got a cut from a laboratory machine at work. My left thumb got a small cut on the skin that, when dry, looks like a small cut, and when wet, a tiny red spot is visible. I bet it shows the depth of the cut when my skin is wet with hot water. Hepatitis and HIV (Human Immunodeficiency Virus) samples are run on the machine I work. My question is, what is the likelihood of getting blood-borne pathogens from a thumb cut from that sample gripper? It has been a day since it happened. At that time, I did not realize I had gotten a cut until I removed my gloves. I felt something on my thumb while touching the sample gripper but did not really bother to look at it as I thought it was just a feeling of a “sense of grip” of putting the rubber or O-ring back on. I just saw I got a cut on my thumb when I removed the gloves. I did not see any blood. Only tiny redness when I opened that tiny cut on my thumb. I washed my hands with soap and water. Should I be worried? Is post-exposure prophylaxis necessary? I believe the condition of the sample gripper was dry, but to think that it holds all the uncapped serums, where we test hepatitis and HIV, I get anxious. Sometimes dried serum crumbs are visible on the machine. I may have touched those as I opened the machine to change the rubber. Prior to that, my co-worker also touched the old rubber on the sample gripper with her bare hands to remove some old rubber, but she did not get a cut. I do want to get tested. The question is when. And what is the likelihood of getting blood-borne pathogens for that? Should I have gone to the emergency room and gotten tested right away?