The following provision in the referenced NH statute may provide Orly with a second and better opportunity:
655:44 Objections. Nomination papers made in accordance with the provisions of this chapter shall be regarded as valid and shall be received by the secretary of state unless objection thereto is made in writing no later than the Monday following the last day for the filing of such papers.
If she has not done so already, it appears Orly can yet submit, prior to the close of business on Monday, a fully supported written brief that makes the argument O is not qualified.
The argument would include
a) documentation that O was born of a foreign citizen parent;
b) that all birth documents O has made public to date have been determined by experts to be fabricated;
c) even with a future presentation of authentic birth documents, O can claim only that he is an ordinary citizen; and finally,
d) that O cannot satisfy the requirements the NH legislation has mandated for its elections.
One would hope she came prepared to do exactly that; if not, there are other states down the road.
She does have another chance. This was just for the primary. After the party convention, they have to submit papers to the SOS indicating that is the candidate for the general election ( like the one Pelosi signed ). The SOS has to certify those papers.