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The only time a Greek term (thauma) is translated as admiration is in the KJV translation of Revelation 17:6.
"6 And I saw the woman drunken with the blood of the saints, and with the blood of the martyrs of Jesus: and when I saw her, I wondered with great admiration."
Most translations use terms such as "marvel" or "wonder" instead, so it is challenging to see how the writers of Scripture would use either of the terms admire or admiration outside of this context in Revelation. That being the case, we'll look to English to get our definitions.
Admiration is defined by Merriam-Webster as a feeling of respect and approval, to admire someone is to have these feelings towards them. It's also common in American culture to use the term admiring to describe looking at a man or woman whom you find attractive. Using the more official definition of admire, it is based on more than a quick glimpse or face-value knowledge of a person or action. To admire someone shows a more intense focus on who they are and how they live their lives. Not as a stalker or one who is overly obsessed with a person, but who holds respect and approval for how the subject of their admiration is living his or her life, for who they truly are. Granted, people can put on a persona and hide who they truly are. We see this often with public figures or even church leaders who live for many years gaining great respect and admiration for the work they've done to serve God's kingdom, only for news to later break about hidden sins and faults in their lives. We must be careful to admire anyone too much because if we do we will be greatly disappointed to find that many of the great believers we look up to and appreciate in terms of their service to God also had their faults.
Adam (Genesis 3).
Moses (Exodus 2:11-13, Numbers 20:10-13).
King David (2 Samuel 11).
The Apostle Peter (Mark 8:31-38, Luke 22:31-34, 54-62, Galatians 2:11-14).
The Apostle Paul (Acts 8:1-3, 1 Timothy 1:12-17, 1 Corinthians 15:9).
This is not even to mention those who have lived after the apostles and in today's world. This only furthers the need to drive our eyes unto Christ first and foremost, knowing He is the Great High Priest who have paid for our sin in full and will not fail God or us (Hebrews 9).
The term crush, when used in a positive manner, is defined as an intense and usually passing infatuation. In other words, it is similar to that of an emotional high. It comes and goes and usually fades away quickly. This doesn't take nearly the same intensity that admiration does.
Love, however, is far deeper than both of these concepts. Here are a few extra Got Questions articles I would suggest reading to make the rest of this response make more sense:
The love most people imagine is that of unconditional love. Is it possible for humans? Is it "God's love"? The simplest way I know to explain it is that love is a condition of one’s heart that translates into action. You do what you do either because you love it, or you love what you will get because of it. To love someone or something unconditionally means it does not depend on the one being loved, but on the commitment and faithfulness of the one loving. To read further on this specifically, see my article on 1 Corinthians 13, A Better Way.
To summarize what we've discovered so far:
A crush is the least of these three. It is like a breath, it comes and goes quickly.
To admire someone takes more time to get to know them. It encompasses respect for them.
To love someone is to be compelled to action for their benefit, even if at times this comes with a sacrifice on your part. This is certainly the greatest of these three.
I do desire this to makes sense and be helpful. If anything is unclear or you'd like more information feel free to submit a follow-up question.
Further resources: