The LSPR peak is red shifted and broadened with increasing temperature. You can check the following papers:
1. Size and Temperature Dependence of the Plasmon Absorption of Colloidal Gold Nanoparticles, The Journal of Physical Chemistry B, 103 (21), 4212-4217,1999.
DOI: 10.1021/jp984796o
2. Temperature dependence of the surface plasmon resonance in gold nanoparticles,