What's the difference between the two transsexual and transgender
The word transgender applies to anyone for whom the three indicators of sexual identity (genetic, physical, and mental) do not all agree. A transsexual is a transgendered person for whom the "odd man out" is the mental, and who has resolved to live as his mental sexual identity. These are the ones who often, though not always, require SRS. When Transgendered is rendered with a capital T, and especially when in the abbreviation GLBT, the word also includes the inter-sexed (people whose genetic or physical sex is either mixed [such as hermaphrodites or genetic chimeras whose two DNA signatures are opposite sexed] or indeterminate [They have undeveloped sexual organs, or instead of XX or XY genes, they have XXY, or X or some extra fragments of an X, etc.]), and the overlapping group that includes the anrdogyne, the "genderqueer," etc. (basically the mental identity equivalent of inter-sexed).
...is this topic not about how God sees the situation?
The focus here should be partly on that (although there are too few clues in Scripture to be sure of God's specific commands to these people based on their condition), but mostly on how we, as Christians, should show God's love toward them.
Jesus, Paul, and James all focused on the command to show God's love to everyone equally. Rich or poor (James 2:1-3), saint or sinner (Matthew 9:10-11), Jew, Samaritan (Luke 17:12-19), or Gentile.
Everyone.
Equally. (Galatians 3:28; Colossians 3:11)
And for the Christian, the command on how to show God's love to everyone, no matter who, and no matter their sin, is to show God's forgiveness.
Unconditionally. That is, without putting any conditions or limitations on our forgiveness. We are never told to make them repent before we forgive them. In fact quite the opposite. If God does not grant them forgiveness in the final judgment, that is between them and God, and none of our business.
The act of unconditional forgiveness is not for their benefit, but for ours, and our communities'. If there are physical or legal consequences to their sins, those must play out. But we are not to compound their sins with ours; we must not harbor (sinful) thoughts of judgment or revenge or perform acts which show our un-charity toward the sinner.
If an ongoing sin is harming an innocent party, we can intervene and reason with the sinner, but we still must forgive him even while he is still sinning. We cannot condemn him, or judge him. Only Jesus can.