Will I cause any damage with a mismatched wheel set? This might seem like a silly question but I would just rather confirm. I recently bought a new wheel set to replace my front wheel, as I was in an accident. However, I was unaware that Id need special tools to remove the cassette from the rear wheel frame. 

I'd still like to be able to use my bike in the mean time, whilst I wait for the tools to be delivered. Would that be okay to use a mismatched wheel set for ~2 days (50 miles) until the tools arrive? 

For clarification, the spec is the same, just weight and branding is different.
You can run different wheels in the front and back (different brands are fine). Heck, some bicycles have different sizes in the front and back (and are sold that way; 96ers and 69ers are examples)!

The only thing you need to make sure is that the wheel fits in the frame and the brakes work.