Donald Trump’s election ushers in a new challenge for homeland security and counterterrorism both at home and abroad. Trump owns, has a stake in, or has lent his name to scores of properties all over the United States and the world. A terrorist could decide to target a Trump Tower in Stuttgart, a Trump hotel in South Korea, or a Trump golf resort in Dubai. A terrorist might even decide to target the famous carousel in Central Park, which Trump also owns. The attraction to the terrorist is obvious: Trump’s hotels, resorts, and condominiums are vulnerable “soft targets,” without any of the serious security measures surrounding American embassies or other government buildings. Even better, most of these targets have the president’s name on them in huge letters. Clearly the symbolic damage of such an attack would be immense.

What is not clear, however, is just how great a threat this exposure represents and how the United States should deal with it.

A quick look at the list of Trump’s properties reveals that several of them are located in countries with significant serious civil unrest and instability. Trump Tower in Istanbul, for example, probably seemed like a pretty safe bet five or ten years ago as Turkey was working towards membership of the European Union. But today, thanks to spillover from the Syrian civil war, the failed military coup, and the recent assassination of the Russian ambassador to Turkey, the neighborhood seems much less secure than it used to.

Trump properties in Muslim-majority nations may present the greatest risk of attack, given Trump’s hardline rhetoric towards the Islamic State and towards Muslims and Islam more generally. Trump Tower Manila, for example, sits within easy striking distance of Abu Sayyaf, a Philippine Islamist group that has pledged allegiance to the Islamic State and has a history of bombing attacks. Trump also owns high-visibility properties in Azerbaijan, the United Arab Emirates, and India, all of which house one or more jihadist groups. Even Trump Tower in Seoul might not be safe: ISIS has recently labeled South Korea an enemy of the caliphate, attempting to incite attacks on U.S. installations in South Korea. In all of these locales, Trump Towers might prove to be an irresistible target.

Trump’s properties clearly present a new kind of Achilles heel for the United States, but what exactly should be done about the potential threat? One position might be to argue that the United States should do nothing. After all, the United States government bears no legal responsibility for providing security at these private establishments. But practically speaking it seems obvious that a major terrorist attack on one of Trump’s towers would have political and security implications that go well beyond the legal question. Attacks on American embassies from Tehran to Benghazi, for example, have always provoked anger and support for retaliation among U.S. citizens. Aware of the symbolism of an attack on a Trump Tower, Americans would likely feel similarly, putting pressure on the U.S. government to respond.

Perhaps one of the most critical aspects to consider along these lines is the reaction of the president himself. How would Trump respond if Trump Tower in Istanbul went up in smoke, killing hundreds of people? From everything we have seen since he began his presidential campaign, it seems likely that Trump would take such an act extremely personally. And given his hawkish rhetoric about dealing with terrorism, it is possible that Trump would respond emotionally, using his executive authority to take extreme measures beyond those dictated by a cool calculation of costs and benefits. Unfortunately, not only might such a response be dangerous and counterproductive for the United States, it might also play right into the hands of terrorists seeking to provoke just such an overreaction.

A second possibility is for Trump to divest from his private holdings and to begin to take the necessary steps to rename his associated properties. This would have the benefit of dramatically reducing the symbolic value of the properties as targets while simultaneously reducing the potential emotional impact on Trump himself. An attack on a hotel that “used” to bear Trump’s name is less likely to offend his ego and to provoke him to an overreaction.

If Trump is unwilling to do this, then he must come up with an alternative plan to ensure that his privately-owned properties and those bearing his name do not expose him to potential blackmail or provocation once he becomes president. Unfortunately, Trump’s reluctance to divest from his businesses, or even to acknowledge the potential for conflicts of interest, strongly suggests that he will not come up with such a plan, or even admit that such a plan is necessary. If so, Trump will be choosing to leave the United States vulnerable on a new front in the battle against terrorism.