Is it though? If it is your team lead who apparently has the managerial power to deny you a medic, they certainly should also be required to be competent enough to make that decision.
Anything else is just an accident waiting to happen (and in this case, did happen).
The description given above is likely a myocardial infarction or an aortic dissection.
If you are having chest pain, you should minimize myocardial demand. Sit down. Call emergency services.
Do not exert yourself by walking. That is a recipe for sudden cardiac death.