An additional consequence may be to the agent listing your property. If you have an agreement that you will pay a commission to the listing agent if he/she brings you a full price offer and meets your other terms, then you may have to pay them the commission due.
In most cases the agent will not enforce this unless you are not acting in good faith when considering an offer.
You should ask your agent these questions. It is his/her job to explain these things to you and it is also helpful for him/her to know what your concerns are.