Should I get a second opinion?

At minus 10 you might get away with LASIK but the quality of vision is probably better with a well done ICL. For big corrections there are quality of vision ( you can be 20/20 but 20/unhappy) concerns for higher prescriptions that aren't as concerning for lower level treatments with the excimer laser.

You can get multiple opinions.  The only issue that matters is your final outcome.  You CAN have LASIK or PRK with a prescription of -10.0 but at a higher risk of a poor outcome or even vision loss than someone with a lower prescription, like -2.00.   A better choice may be  an implantable contact lens (ICL).  If you are over 45, a clear lens exchange may be an option...  Glasses and contacts are options as well...,

Your candidacy for laser vision correction depends on a lot of factors including but not limited to your age, level of correction, corneal thickness, corneal mapping, stability of prescription, steepness/flatness of the cornea.  Therefore, there is no easy answer here.  Laser vision correction can be done on prescriptions like yours but some doctors prefer surface treatments without a flap rather than LASIK with a flap in these cases to conserve altered tissue.  Alternative surgical options would include intraocular contact lenses or refractive lens exchange depending on your age.