There are numerous types of protection you might want to
subscribe to. Unfortunately most of us have limited spending power
and are forced to choose 'the one' that seems the most important.
There isn't a most important thing to protect, it really depends on
your priorities. Some of them can be :-
1) Protecting against hefty hospitalisation bills. This can come
in the form of hospitalisation insurance that should cover your
hospital expenses should you fall ill.
2) Protection against critical illnesses. These insurance
policies are typically tied up to cover death. They pay out a
certain lump sum (you decide that lump sum) should misfortune
befall you.
3) Protection against death of a partner. This type of
protection is very typical in mortgage insurance, covering the loan
payments of the house should something happen to your partner.
These are the ones that would be more applicable to you. There
also insurance policies that include a savings component together
with death/critical illness protection. These are known as
endownment policies. But i don't think that is what you are looking
for.
Tan Kin Lian's blog offers alot of information on the different
types of insurance. Do a google search and you would be able to
find his blog.