Unfortunately, this will force you to file your tax return by mail. The IRS will not accept an e-file without a social security number.
If you support another person, you may be able to file head of household instead. If you think that is a possibility, take a look at the article below to see if you qualify.
https://ttlc.intuit.com/questions/2567672-can-a-married-person-claim-head-of-household-filing-status
