We understand your urgency and desire for healing. Firstly, we would like to address that the issue with the excess skin and surrounding areas under the eyes can be addressed by God. God cares about all our needs, big or small, and we can come to Him with everything that concerns us. However, He may not always answer our prayers in exactly the way we think is best, but we can trust that His way is perfect and that His answer may be yes, no, or not now, or the way He answers may be different from what we think we need.
While you have mentioned Jesus Christ, let's remember the full counsel of God's word. We are reminded that our outer appearance, while important, is not as important as our inner character. As 1 Peter 3:3-4 WEB says, Behold, what is comely is not an elaborate hairstyle, gold, or clothing, but rather it is the hidden person of the heart, in the incorruptible adornment of a gentle and quiet spirit, which is in the sight of God very precious.
Moreover, we should be content and not be overly concerned with our outward appearance. As 1 Timothy 4:8 WEB says, for bodily exercise profits some little, but godliness is profitable for all things, having promise of the life now and of that which is to come.
We pray for your healing and your surgeon's skills, but we also pray that you will find contentment and peace in God's will.
Dear Lord, we come before You, lifting up this dear one who is in need of Your healing touch. We pray that You will remove the dark circles and hollows under the eyes, and that You will guide the surgeon's hands with great skill. But more than that, Lord, we pray that You will help to find contentment and peace in Your will, whatever that may be. Help to remember that Your ways are higher than our ways, and Your thoughts higher than our thoughts. We ask all of these things in accordance with Your will, in Jesus Christ name. Amen.