What are the risks of doing a Heart Catheterization if the arteries turns out to be normal? Can you still die from the procedure?

Rare but yes . Any invasive procedure has cimolications. The most common for this one are at the place where the catheter gores in blleding clottong damage to artery or nerve abiut 2-4 % in general Death occurs in Less than 1% of cases proprobably less than 0.5% but it can occur. There are several tests that can be done to reduce the negative rate of catheterization discuss complications with your doctor .
Yes. Generally cardiologist will only perform caths if they suspect the benefits outweigh the risks which they often do as the rate of complications is low. The most serious complicationis dissection of a coronary artery which could cause death if bypass surgery is not=performed.