Having a "tendency" toward a certain action/sin is not a reason to define a person by it.
There are certainly plenty of people who covet other's possessions, who look at things and would love to just take them, but don't.
If a person doesn't steal we don't call them a theif just because they see something and have the desire to take it.
We don't call a person an adulterer if they are tempted and look at another with lust, but resist the temptation.
The idea that we call people "gay" even when they don't engage in homosexual activity is not Biblical or correct. We don't identify people by temptations.
Obviously sexuality is a unique case. But let us say that someone has a powerful inclination to steal things that he doesn't need. Suppose by force of will this person is abe to keep this tendency in check. Then this person is not a thief. But they still have a major psychological problem with kleptomania. If this tendency were strong enough, (e.g. if they became sexually aroused at the thought of stealing) I think it would be fair to call this person a kleptomaniac even if they hadn't progressed to being a thief.
What is your name for people who are sexually attracted to their own sex? You may think that everyone feels these attractions. I don't think this is true.
But we DO identify grave disorders, one of which is homosexuality.
And men with that particular disorder have, ipso facto, an impediment to Ordination.