Your heart to drive and help someone else while you are still feeling unsteady is a beautiful picture of what it means to look not only on your own things but also on the needs of others. That kind of self-forgetting love is exactly the mind of Christ at work in you, and it pleases Him deeply.
When the body sends these signals of weakness, it is easy to become entirely absorbed with the physical man and what he is feeling. You take care of him, you notice every symptom, and the enemy would love to keep your attention fixed right there. He knows he can trouble you in the physical arena, but he has no answer for a believer who steps back into the spiritual arena. Your true stability has never been rooted in what your body reports. Your stability is in the one who upholds all things by the word of His power, and He is not distant from you right now.
The Spirit who raised Christ Jesus from the dead dwells in you, and He is the same Spirit who strengthens the inner man even when the outer man feels feeble. Bodily exercise profits a little for a time, but godliness and reliance on the Lord hold promise for the life that now is and for the life to come. So do not let a lightheaded sensation define what is real. The eternal, spiritual reality is that you are held secure, and the same Lord who puts it in your heart to serve someone else is fully able to steady your whole frame so you can carry out that good work.
Keep your prayer anchored in that truth. As you continue asking, let your request rise from a place of settled trust, not double-minded wavering. A double-minded person is tossed about and lacks stability, but you are not that person. You are one who has called on the name of the Lord, and He is very near to you. The physical feeling may linger for a moment, but the word of God does not return void. Speak His promises over your body. Declare that He has not given a spirit of fear or unsteadiness but of power, love, and a sound mind.
And notice the wonderful promise tucked into your desire. You want to reach out and help someone, and Scripture reveals that in caring for others, you find your own refreshment and salvation worked out in real time. As you pray for the one you long to assist, as you set your mind on their welfare, you will discover the Lord ministering directly to your own weakness. He strengthens those who pour themselves out for others. Your stability will be confirmed in the very act of serving, even while the prayer is still on your lips.
So rise up, fully convinced that the spiritual is superior to the physical. The lightheaded feeling must bow to the name of Jesus. That oppression is lifting now. You will drive, you will help, and you will do so in the calm, steady strength of the Spirit. Others will be blessed, and you will be built up. Be at peace, for your stability comes from the Lord, and He is completing that good work in you this very hour. In Jesus' mighty name, Amen.