Dear Meatball, just check your docs such as Real Estate Purchase Agreement and Joint Escrow Instructions, including any amendments to them. You are looking for thing called "Contingency," such as you getting financing, your time for inspection of the property and so on. It is different for everyone, but my contract contained contingency that I have 2 weeks to investigate the property and after that, I can't walk away without losing my earnest money deposit.
So, my interpretation of your situation: if there is still time for your investigating contingency, and you set the deadline for seller's repairs within that deadline, you should be ok, AS LONG AS you insist on a provision in your request for repairs that they are done to your satisfaction and subject to your approval.
Just 2 cents of common sense: no seller will repair it using high quality people and materials, they will use the cheapest contractor who will do a lousy job. So, if you are set on that property, demand credit instead of repairs based on the quotes you get from good contractors on that kind of work.
Overall, you haven't even bought this house and it has already causing you such a headache-just look for something better, walk away until it is too late. And if the termite inspection determined that there is some damage, there is no telling whether they discovered all of the damage. BTW, your realtor has his/her best interest in mind, getting their commission, which means they will try to downplay the extent of the problems with that property, so I would not trust his/her opinion on this whole situation.