Selling my home- 2 offers, 2 different types of financing?

I have my house on the market and have received 2 (full price) offers. One buyer is pre-approved for an FHA loan and the other USDA RA. The FHA loan needs to close faster than I'd like, but my real estate agent said the RA type loan from the other clients concerns her. Is this something I should be concerned with, or go with what is more convenient?
Added (1). FYI- Both buyers have already gone through the entire process of preapproval including underwriting and verification. I don't know the specifics, but the FHA loan NEEDS to be in ASAP. The USDA loan is 100% financing which may be what concerns the agent.

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