Is it good to take aspirin daily as a protective measure against heart disease?

Probably. It has been shown in males to reduce heart attacks. It may also reduce the incidence of colon cancer. There are also risks of GI ulcers and bleeding. You need to discuss with your doctor to see if it's a good choice for you.
Yes. The american heart association has determined that all women 40 and older who can take Aspirin should start on mini-dose Aspirin therapy. That means an 81 mg Aspirin (baby aspirin) which should be taken at bedtime, as most heart attacks occur at night.