"Ask and it will be given to you" vs. "Not my will, but yours be done." So, please clarify something for me. I'm trying to get a better understanding of presenting my requests to God, but also recognizing that it is not my will, but His will be done. Here are three verses that I am trying to connect (I have italicized the most key parts):

Father, if you are willing, take this cup from me; yet not my will,
but yours be done. (Luke 22:42 NIV)
Do not be anxious about anything, but in every situation, by prayer
and petition, with thanksgiving, present your requests to God. (Philippians 4:6)
Ask and it will be given to you; seek and you will find; knock and the
door will be opened to you. For everyone who asks receives; the one
who seeks finds; and to the one who knocks, the door will be opened.
(Matthew 7:7-8 NIV)

So, whenever I pray, I will present my requests to God, and then I will finish it off with: &quot;yet not my will, but Your will be done always and only.&quot; But the Scripture says to &quot;ask and it will be given to you.&quot; But, are there times when it won't be given to me, because if God doesen't want something to work out, it won't be given to me. It all around just confuses me, and I have ignored it for a long time. But, I was thinking about all of this earlier today and decided to finally get some clarification.
Please don't criticize my faith. That is definitely not why I came to this forum. I am a devout Christian and care about what God wants above anything else. I just need some clarification so I can advance with my prayers. =)
There are three occasions in scripture when I can think of someone not receiving an 'answer' to prayer. But on all three occasions, they did receive a response from God the Father.
The person asked, but did not receive what they asked for. But they received a response.
Firstly, the one you mention : Jesus prayed that the cup should pass from him yet only if it was within the Father's will. The response was :

And there appeared an angel unto him from heaven, strengthening him. [Luke 22:43 KJV]

Jesus did not receive an 'answer' as such, but he did receive a response.
The second occasion is when Paul prayed three times :

And lest I should be exalted above measure through the abundance of the revelations, there was given to me a thorn in the flesh, the messenger of Satan to buffet me, lest I should be exalted above measure. For this thing I besought the Lord thrice, that it might depart from me. And he said unto me, My grace is sufficient for thee: for my strength is made perfect in weakness. [2 Corinthians 12: 7-9 KJV]

Paul did not receive an 'answer', as such, but he did receive a response.
And, lastly, there were certain people who prayed yet their prayer was 'amiss' and it was not answered. But they did receive a response, and it was James who was sent to respond to them :

Ye ask, and receive not, because ye ask amiss, that ye may consume it upon your lusts. [James 4: 3 KJV]

They did not receive an 'answer' to their prayer but they did receive a response.

So, today, you have sought an answer and what I am saying to you may not be what you expected, it may not be what you wanted.
But it is a response. You are not being neglected.
I, too, began to follow Jesus Christ at the age of sixteen, as do you. I am now sixty eight years old and I have been helped every single step of the way, without fail.
I wish you well on your journey.