inotropic:
http://www.thefreedictionary.com/inotropic

Affecting the heart muscle and its ability to contract.

Hemodynamic means blood flow. Drugs that reduce contraction of the heart, or slow the beats result in slower blood flow over all.

Sotalol was the betablocker that was reported in that interaction.
It is similar to the one you take. (all beta blockers are similar, with some being cardioselective and others not...propranolol is not considered cardioselective, meaning it affects larger areas of the body as well as the heart.)

You should notify the cardiologist ASAP that another doctor is also prescribing drug(s) for you, as this may impact the heart.
A patient should always keep all doctors in the loop regarding addition or subtraction of drugs.

Bradycardia is a slowing of the heart beat.

Suffice it to say, at this point you should be talking to your cardiologist and follow his/her recommendations IMO.