Possibly. It depends on whether or not the marriage was bonafide and not for the sole purpose of immigrating. As the officer stated, he will likely be interviewed and they will inquire as to the legitimacy of the relationship.
The answer provided is general in nature and should not be construed as legal advice as not all facts are know by the attorney, nor does the answering of this question create an attorney client relationship.
You aren't really seeking legal advice here so there is not much we can help you with. Your husband would get his 10 year green card if he can prove that me got married for the right reasons, even if that marriage didn't work out. If he cannot prove that, then his green card will be terminated. Good Luck.
Most likely he will, by invoking one of the numerous exceptions that exists to the I-751's joint filing requirement, among which good faith marriage, psychological cruelty, etc. USCIS only gives that much weight to accusatory letters or statements from disgruntled ex-spouses. If your ex will not get his "conditions" removed at the USCIS stage, he will then surely have them removed at the immigration court stage. They almost always do.
Behar Intl. Counsel 619.234.5962 Kindly be advised that the answer above is only general in nature cannot be construed as legal advice, given that not enough facts are known. It is your responsibility to retain a lawyer to analyze the facts specific to your particular situation in order to give you specific advice. Specific answers will require cognizance of all pertinent facts about your case. Any answers offered on Avvo are of a general nature only, and are not meant to create an attorney-client relationship.