£10,000 is quite a limited budget for an electric car. You'll get one but range will be limited - the Nissan Leaf 24kWh could only cover around 80 miles when it was new, and batteries on a second-hand example will have degraded slightly since then. Has your daughter considered a hybrid? You could pick up a Toyota Yaris Hybrid within budget. This'll have five doors but it's quite a small car. Alternatively, look at the Toyota Auris, which is also a hybrid.