Can they accidently break my water

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I came to L&D because I was having some watery discharge and called the nurse line in response they told me to come in and get checked. Well here I am getting checked. The lady come in and opens me up and tells me to cough. So I do and then she takes out the thing which opens you up and tell me it’s just discharge. But 5 minutes after she left, I felt a little gush and felt even more wet. Could she have broken my water ?

I’m going to let them know to check again. Im only 35w and a ftm so I have no idea what to expect

Also she checked my cervix and it’s still closed