How to not be polite. I ended up winning the War.

The unfortunate curse of being Canadian, I'm joking mostly. But I honestly do think my general politeness screws me over, I went to the library, in fact still at the library and there was this woman who came in after me and there is this sweet study spot in the library it's perfect, and today I made it there first. She came there second but because she came from a different angle she smiled at me and put her stuff down on the table before I could. It was rude and I didn't say anything because making a scene in a library over a chair is stupid. But it still irritated me enough to bitch about it here. I walked away like an adult, but still tomorrow it'll be the same thing and the day after and the day after. She's beaten me every single time I've come to the library even when I'm there first. I'm carrying like 50 pounds of textbooks. So any suggestions on how to handle it without making a scene? I think it was her laughter today that really pissed me off.

Update:
In the end I never got my spot back, and I'm okay with that. Why? Because that entire area is infested with ants. So when I saw her today I smiled real big, and when the doors opened she rushed to get that spot while I walked to the clean ant free area. She might be perfectly okay with ants crawling up on your hands while you're working, but I'm not. Plus all I had to do was bring an extra hoodie for when it gets cold.