Was about to come in and suggest exactly this. I've been shooting with the X-T10 exclusively for the last year and it's an absolute little beaut. Fuji glass is pretty much as good as it gets and if your wife doesn't fancy getting her hands dirty in Lightroom or Photoshop or similar post processing then the Fuji jpeg are absolutely stunning straight out of the camera. I've shot pretty much anything and everything with it and it hasn't missed a beat, although it doesn't have the quickest autofocus so if you're shooting sports stuff you might struggle.
An excellent condition X-T10 on the used market will set you back around £250 for the camera body or you will probably find one of the Fuji refurb store with the XF18-55mm lens for around £500.
If you're after some sample photo's pretty much everything here is shot with the Fuji...
www.ashsmithphoto.co.uk