Your nursery staff should be experienced enough to recognise the difference between unacceptable behaviour and a child with difficulties.
I thought DD was NT until I took her to preschool. Her behaviour is hard to control, but I thought it was me, not SN. Within weeks, the preschool asked me to sign a form so they could get the Area Inclusion Co-ordinator to come in and assess DD, as they didn't think she was being naughty.
They need advice on what intervention to use with your DD. For example, DD's teachers were going to her when she ran off, and returning her to the mat. She thought this was a fantastic game, and it gave her the feedback she craves. The AIO said that they should merely observe her to make sure she was not in danger, and appear to ignore her. It stops her getting 'high' on the chase.
Why don't you phone your LEA's Education Service, and ask to speak to the SENCO/AIO for your area? They should be able to advise you as to what to do.
It may be that your nursery are just inexperienced, and need help to see your daughter's needs as opposed to the behaviours that result.
BTW, I don't know what language they are using when they talk to you, but at DDs preschool, they NEVER use the word 'naughty' (although I do, lol), and they always tell me about DDs day positively, even if she has really struggled. Even when I have watched her spinning on the floor, running away, pushing things, etc. while I am waiting to collect her, the teacher says "She's been fab today. Just that last 10 minutes got a little bit too much". Never she's done x, y, & z.