First of all: We do not need to be forced to click on some link to image host. Right-click on the hosted image and chose Properties, then copy internet address of the image and give it to the img tag. It should look like this:
If the image is too large it breaks up the layout of the forum, use lvlshot tag instead.
Second: You did not specify, which model editor you are using. That way it's hard to say how you would export model as MD2 for Q2 or MD3 for Q3. Quake 3 (well q3map2 rather than the engine) also accepts ASE models, which are also moveable and can be easily edited by text editor (mainly to change texture or the texture's path). MD3's are binary encoded and encrypted to specific path relative to pk3's root. The model has specified the model's path inside the file itself and the textures. MD3 is not directly editable. You might want to use Hex Editor for MD3 editing, but as long as the model and its textures paths including the files itself remain exactly the same length. MD3 has number of checksums, which are located in different addresses and if you change the size of any part of the file, you are likely to void the entire model file...