Exhibit 5.2

August 13, 2026

To: Apex Critical Metals Corp.

Suite 400 - 570 Granville Street
Vancouver, British Columbia, V6C 3P1, Canada

Consent of Expert

In connection with the Registration Statement on Form F-10 of Apex Critical Metals Corp. (the "Registration Statement"), I, Robin J. Wilson, B.Sc. (Hons) Geology, MAusIMM, MAIG, hereby consent to the references in the Registration Statement to my name and the technical report entitled "NI 43-101 Technical Report on the Rift Project, Johnson and Pawnee Counties, Nebraska, USA" with an effective date of May 15, 2026 (the "Technical Report") and to the inclusion or incorporation by reference in the Registration Statement of written disclosure from the Technical Report and extracts from or a summary of the Technical Report.