They should notify you when there is a breach and your information is out there.
Check it out:

Dozens of House Democrats broke ranks with President Obama on Friday to support legislation that would require people to be notified of security breaches under ObamaCare.

The House passed the Health Exchange Security and Transparency Act, H.R. 3811, in a 291-122 vote. Sixty-seven Democrats voted for the bill, ignoring arguments from party leaders that the bill was a “messaging” vote meant to discourage people from signing up for insurance.

The one-sentence bill says that no later than two business days after any security breach on an ObamaCare site is discovered, “the Secretary of Health and Human Services shall provide notice of such breach to each individual.” Republicans said that under current law, the government is not required to notify people if their information is put at risk.