How to take/destroy this city without war?

[Uniqueuponhim]

Just before I was about to settle in this spot, Isabella beat me to it.

This city is far cut off from her main area, as you can see by the minimap, and deep in my territory. It's too far away from those two nearest cities for a cultural takeover, and I'm reluctant to declare war (going for diplo victory.) Is there any way to take that land back without a war?
Also, if I do go to war, and I manage to wipe her out, will it have a negative impact on my ability to get a diplo victory?

 

[BlackMage]

The only way to gain cities nonmilitarily is to culture flip them.

If you declare war, the people that have aligned themselves with her will have a diplo hit which will remain for quite some time. It makes no difference whether you destroy her civilization or if you just take that 1 city.

 

[Stinson]

I'm not an expert, but I think you could eventually culture flip that city pretty easily since it's so isolated and so weak at that point. Also, it looks like you could close off your borders from her, and make it that much harder for her to continually support that area with the main cities.

I could be wrong, though, because like I said, I'm not an expert.

 

[Gemini1706]

Try to buy.

 

[Mathemagician13]

If you can't buy it, you can sort of manually buy it
Build a city as close as you can, and then (assuming you have the civic that lets you finish production for money), buy as many early culture upgrades as you as fast as you can, get a few levels of population in the city (I like 3), and then set the cities production to culture. You'll get the resource rather quickly, and the city should come soon enough (this is typically how I capture rival cities on games like Terra).

(This also assumes, I suppose, that you use state property or another method to minimize the maintenence penalty for this new city).

 

[sunround]

May be you can annoy Isabella too much that she will declare war on you...
Seems other rivals in civ4 doesn't care, if you treat somebody else (like it was in Civ3), so, there are no negative relations.

 

[Doctor Love]

Build a city near it, and then use a GP culture bomb

 

[Uniqueuponhim]

Well, she declared war on me anyway... Truly, I had expected Toku to declare first, but whatever. She also declared about 5 turns after I had researched Military Tradition, which she is nowhere close to, so I'm having no trouble with her at all - except that her conquistadors keep pillaging my (formerly her) towns near the northern border. The upside to this is that soon, I'll have control of the buddhist holy city, giving me all seven! (I founded all six other religions

The japanese city was culture flipped to me just before the war. I love how every original Incan city is a holy city for at least one religion. This is only on Prince difficulty - I doubt I would have been able to pull this off on Monarch or higher.