From the National Health Service in the UK:
Many different types of viruses can cause colds. The viruses can sometimes survive on indoor surfaces for more than seven days. In general, viruses survive for longer on non-porous (water resistant surfaces, such as stainless steel and plastics, than porous surfaces, such as fabrics and tissues. Although cold viruses have been shown to survive on surfaces for several days, their ability to cause an infection reduces rapidly and they don't often survive longer than 24 hours.
Most viruses which cause colds only survive on hands for a short amount of time. Some only last for a few minutes but 40% of rhinoviruses, a common cold-causing virus, are still infectious on hands after one hour.
Respiratory syncytial virus (RSV), another cold-like virus that can cause serious illness in children, can survive on worktops and door handles for up to six hours, on clothing, and tissues for 30-45 minutes and on skin for up to 20 minutes.
Also found this:
According to the Centers for Disease Control and Prevention, a temperature above 167 degrees Fahrenheit or 75 degrees Celsius is sufficient to kill influenza viruses. This temperature is often cited as lethal against viruses in general.
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I don't think there is anything to worry about.