There may be. The annulment process requires getting the other spouse to complete their part of the process. This situation is ripe for the abused party to be victimized again by someone who is vindictive or demanding something (like giving up child support in exchange for cooperation). 

It's rare that someone marries a known abuser. The marriage may have been entered with the best preparation and good intentions, but if drugs, alcohol, trauma, or mental illness enter the picture, the marriage may be doomed and, in some cases, dangerous. 

The system may work well with two well-adjusted, communicating individuals who agree on an annulment, but that is very often not the case. In my professional capacity, I had to write the tribunal twice on behalf of a client who married someone who later developed paranoid schizophrenia to inform them that contacting the spouse could be dangerous to my client and destabilizing to the spouse. It took several appeals to get them to understand.