This is a bit of a vent and any advice would be appreciated

My DD1 has just turned 2 and has always been a biter Its as though nothing i try works. She goes 1 day a week to FDC and on the day she goes there are 3 other children in care a girl 2 months younger and then 2x 4yo's. The last 2 weeks DD1 has Bitten the girl who is similar in age. I was given a fact sheet on biting etc and FDC lady has spoken to me regarding on how to treat it when it happens. She has been very nice about it understanding as at 2yr's she believes it's a frustration issue to do with communication between the 2 girls etc. She has also told me that the other child pushes dd1's buttons and often provokes the biting. DD will not bite for no reason iykwim it is generally when fighting over toys etc. I'm not defending DD1 at all but it's not like she just will walk up to anyone and bite. Anyway i have had a phone call this evening from the lady who runs the FDC and the other girls parents are very upset about this. I do understand to some degree but again my DD1 is only 2 and if it was in reverse yes i'd be upset but also understanding iykwim (my DD has been bitten by other children in the past so we have been on the other end.) Well i have been asked not to send DD1 next week as it will be the last week the other child will be attending on the same day as her parent fear for her safety and will be swapping days themselves. I can understand why etc but at the same time and very upset and annoyed by it all. Has anyone been through something similar and how did you deal with the biting? I would love any advice as its really bothering me. I am the only other person she bites and it only ever an attention seeking thing when i am busy and she is vying for my attention. At the moment i put her in timeout for 1.5mins and try to explain to her why and then make her apologise, then we carry on as normal.