Beta blockers conflict with Ashtma - Hence my surprise.
Some of the advice here is good. Some people are in a different situation.
Bisoprolol is a cardioselective betablocker, unlike older ones like atenolol and propranolol, so theoretically shouldn't affect your asthma.
Your calcium score is a proxy for coronary heart disease (CHD), aka atherosclerotic plaques in your coronary arteries. This means you need "Secondary Prevenation" as you are at higher risk of a heart attack/MI. The drugs you have been recommended have all been proven to make people with CHD live longer and prolong time to a cardiovascular event.
Your calcium score is relatively low, but your GP has to be binary about who has secondary prevention treatment and who doesn't. The trials for secondary prevention predate calcium scoring so everyone is treated the same, whether they have had a previous heart attack, a bypass or have mild atheroma.
I'm happy to share a guide to cholesterol targets I have written for our staff. They have tightened up recently. But if you have CHD your non-HDL cholesterol should be less than 2.6, if you don't have that figure the your LDL cholesterol should be less than 1.8. You can access your results through the NHS App.
I hope this is useful and the discussion with your GP is also helpful.
I will.send you a private message