Hello and thanks for trusting me to help you and your pets today. I am a veterinarian with over 25 years experience and would be happy work with you.
The biggest concern is that we are unsure of what type of care she had before she was picked up. Hopefully she was well taken care of and on a good preventative care routine, but since we don't know, we have to assume that perhaps she wasn't.
A thorough physical exam will help to rule out any skin conditions due to external parasites (fleas, ticks, etc). If she is cleared of that, the next step would be internal parasites. This would include intestinal worms and heartworm. A routine stool sample will reveal eggs from the common worms, like round and hook worm, but other worms are harder to document at times and so it is a good idea to deworm for all worms including tapeworms.
A heartworm test should be performed now and if in a area with year round potential for heartworm infection, I would have the test repeated in 4 months. Remember that it can take up to 6 months after the mosquito bite for a positive to show up on a heartworm test, so just because she may be negative now, doesn't mean she can't have an infection that is not showing up yet. This is not contagious to your dogs, but you would want to identify it so that treatment could be started.
As far as other contagious conditions, bordatella or kennel cough is probably then next most common condition noted in dogs coming from shelters. Separate if she is coughing until that resolves, but they may have vaccinated her for that upon admission also.
Good luck with your new addition.
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