She understands the value of discretion as to her being a mage, particularly when travelling. Unfortunately, she doesn't always keep her mouth shut -- either to common folk, clergy, nobles or mages -- about her strong, obsessive belief that all people should be able to work together toward a common good. Fortunately, her pleasant appearance and undeniable charm go a long way to smooth ruffled feathers of those to whom she preaches.
Lilia had a close relationship with Pierre la Ventfroid at Stonehollow. She fully expects to have similar relationships with the mages in her new home, and hopes to fix what ails the denizens of Lakehome and start building a stronger relationship between them and their nearby communities and churches. She has had limited contact with Lakehome, only having met them at a Tribunal, and may be overestimating their capacity for renovation.
While travelling Lilia wears mundane clothing, with a cloak, and carries many many pouches. The clothes are of the fashion of the day, which is to say, bliaut, and of fairly sturdy cloth (silks and velvets don't travel well), knee boots under her skirts for warmth and protection.
Around the covenant, she wears richer cloths, richer dyes, but same basic style.