Are the names identical? Whose company was first to use the trademark? Have either of you registered the trademark federally?
If she hasn't registered, then her use-based rights only extend to the regions in which she has actively used the trademark for sales and marketing. Further, if your educational services don't overlap, then you may be able to differentiate from her market.
If she's registered and predates you, then her rights are nationwide, and you would have to look at her categories-of-goods-and-services list to see whether there may be overlap.
Anyone can file a suit, and it can cost a significant amount of money if she pushes it hard. However, unless she happens to be an attorney herself, she'll likely be spending money too.