No. Payment of the processing fee begins vetting; it is not status, and the gift follows only after official instructions. Until the underlying immigrant process is complete, the director's existing status governs what she may do.
The fee starts a process; it does not start employment
The official sequence is an application and processing fee, an I-140G submission and vetting, and then a gift made on official instruction, followed by the remaining immigrant-visa or adjustment steps. None of those preliminary stages is work authorization. A Mount Pearl sales director who already holds a nonimmigrant status that permits her U.S.
work continues under that status; a director who does not may not begin working in the United States because a fee has been paid or a gift made. Nor does the official page guarantee a processing time, so the company should not schedule a relocation, a lease or a customer announcement around an estimate. The sensible order is to confirm eligibility for lawful permanent residence, admissibility and visa availability under the official framework, choose and document the individual or corporate option, pay the fee, follow the I-140G and vetting instructions, make the gift when instructed, complete the immigrant visa or adjustment process, and only then treat her as a permanent resident.
If the business needs her in the United States sooner, that is a separate nonimmigrant question with its own rules.