While this is obviously speculation, it seems very unlikely to me that an elderly woman living rurally in a quiet part of the country would be murdered by a random person in her own home. I would be pretty surprised if it doesn't turn out to be someone who disliked her political views (I'm in no way suggesting that person would be an immigrant, just to be clear).
Unfortunately, regarding police statements about it not being political, a lot of people, including me, these days distrust initial police statements until further corroborating information is released.