GF, don't confuse not charging with "you cannot charge until they have the GFE".
RESPA says
(4) The lender is not permitted to charge, as a condition for providing a GFE, any fee for an appraisal, inspection, or other similar settlement service. The lender may, at its option, charge a fee limited to the cost of a credit report. The lender may not charge additional fees until after the applicant has received the GFE and indicated an intention to proceed with the loan covered by that GFE. If the GFE is mailed to the applicant, the applicant is considered to have received the GFE 3 calendar days after it is mailed, not including Sundays and the legal public holidays specified in 5 U.S.C. 6103(a).
Give them the GFE, then tell them in order to proceed, you need to give us $XXX. so the bank can order the appraisal.
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Integrity. With it, nothing else matters. Without it, nothing else matters.